# Algebra - Introduction and Notation

**Question 1**

What is the missing number in the boxes?

a) $\square+1=2$

a
$1$

Question ID: 2001001001

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b) $\square+5=7$

a
$2$

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c) $\square-3=5$

a
$8$

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d) $\square\times4=12$

a
$3$

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e) $\square\div2=7$

a
$14$

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f) $18+\square=50$

a
$32$

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g) $20-\square=9$

a
$11$

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h) $\square\times8=88$

a
$11$

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i) $5+8=\square$

a
$13$

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j) $20\times3=\square$

a
$60$

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k) $18\div3=\square$

a
$6$

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l) $8-\square+4=9$

a
$3$

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m) $6+4=\square\times2$

a
$5$

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**Question 2**

What is the missing number in the boxes?

a) There are $\square$ days in a week

a
$7$

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b) Eighty divided by 4 is $\square$

a
$20$

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c) A pentagon has $\square$ sides

a
$5$

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d) This week I ate an apple on Monday, Wednesday and Saturday. I ate $\square$ apples this week.

a
$3$

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e) The freezing point of water is $\square^\circ$C.

a
$0$

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f) I muliply 5 by 8, add 20 and then divide this by 4. The answer is $\square$.

a
$15$

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g) There are $\square$ days in a week

a
no answer

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**Question 3**

Each letter represents a number. Find the value of the letter.

a) ${\bf r}+5=9$

a
${\bf r}=4$

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b) ${\bf a}+12=19$

a
${\bf a}=7$

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c) ${\bf h}\times8=72$

a
${\bf h}=9$

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d) ${\bf q}-17=25$

a
${\bf q}=42$

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e) ${\bf x}\div 18=2$

a
${\bf x}=36$

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f) $74+{\bf s}=100$

a
${\bf s}=26$

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g) $150-{\bf g}=50$

a
${\bf g}=100$

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h) $600\div{\bf y}=4$

a
${\bf y}=150$

Question ID: 2001003008

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i) ${\bf b}+15-25=67$

a
${\bf b}=77$

Question ID: 2001003009

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j) ${\bf m}+{\bf m}=66$

a
${\bf m}=33$

Question ID: 2001003010

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k) ${\bf k}\times{\bf k}=100$

a
${\bf k}=10$

Question ID: 2001003011

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l) $6\times{\bf z}+-16=20$

a
${\bf z}=6$

Question ID: 2001003012

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m) ${\bf w}\times7=24-{\bf w}$

a
${\bf w}=3$

Question ID: 2001003013

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**Question 4**

Write each expression without the mutliplication sign

a) $2\times{\bf x}$

a
$2{\bf x}$

Question ID: 2001004001

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b) $5\times{\bf y}$

a
$5{\bf y}$

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c) ${\bf h}\times3$

a
$3{\bf h}$

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d) ${\bf w}\times18$

a
$18{\bf w}$

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e) $5\times{\bf t}+8$

a
$5{\bf t}+8$

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f) ${\bf u}\times6-3$

a
$6{\bf u}-3$

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g) $2\times3\times{\bf g}$

a
$6{\bf g}$

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h) $4\times{\bf k}\times5$

a
$20{\bf k}$

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i) ${\bf e}\times{\bf k}$

a
${\bf ek}$

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j) ${\bf d}\times{\bf c}\times{\bf a}$

a
${\bf acd}$

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k) $9\times{\bf w}\times{\bf z}$

a
$9{\bf wz}$

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l) $2\times{\bf f}\times{\bf h}\times5\times{\bf g}$

a
$10{\bf fgh}$

Question ID: 2001004012

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**Question 5**

Write each expression without the division sign

a) ${\bf e}\div3$

a
$\frac{\bf x}{4}$

Question ID: 2001005001

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b) ${\bf x}\div4$

a
$\frac{\bf e}{3}$

Question ID: 2001005002

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c) ${\bf c}\div20$

a
$\frac{\bf c}{20}$

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d) $t\div{\bf b}$

a
$\frac{2}{\bf b}$

Question ID: 2001005004

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e) $2\div{\bf b}$

a
$\frac{2}{\bf b}$

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f) $16\div{\bf n}$

a
$\frac{16}{\bf n}$

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g) ${\bf x}\div{\bf y}$

a
$\frac{\bf x}{\bf y}$

Question ID: 2001005007

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h) ${\bf st}\div{\bf r}$

a
$\frac{\bf st}{r}$

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i) ${\bf 6}\div{\bf x}+5$

a
$\frac{6}{\bf x}+5$

Question ID: 2001005009

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j) ${\bf t}\div{\bf e}+{\bf 19}\div{\bf h}$

a
$\frac{\bf t}{\bf e}+\frac{19}{\bf h}$

Question ID: 2001005010

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**Question 6**

Write each expression without the multiplication signs

a) ${\bf x}\times{\bf x}$

a
${\bf x}^2$

Question ID: 2001006001

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b) ${\bf g}\times{\bf g}\times{\bf g}$

a
${\bf g}^3$

Question ID: 2001006002

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c) ${\bf w}\times{\bf w}\times{\bf w}\times{\bf w}\times{\bf w}$

a
${\bf w}^5$

Question ID: 2001006003

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d) $9\times{\bf d}\times{\bf d}$

a
$9{\bf d}^2$

Question ID: 2001006004

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e) $20{\bf y}\times{\bf y}\times{\bf y}$

a
$20{\bf y}^3$

Question ID: 2001006005

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f) $5\times{\bf a}\times2\times{\bf a}$

a
$10{\bf a}^2$

Question ID: 2001006006

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g) $9\times{\bf h}\times{\bf h}\times{\bf h}\times3\times{\bf h}$

a
$27{\bf h}^4$

Question ID: 2001006007

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**Question 1**

What is the missing number in the boxes?

a) $\square+1=2$

b) $\square+5=7$

c) $\square-3=5$

d) $\square\times4=12$

e) $\square\div2=7$

f) $18+\square=50$

g) $20-\square=9$

h) $\square\times8=88$

i) $5+8=\square$

j) $20\times3=\square$

k) $18\div3=\square$

l) $8-\square+4=9$

m) $6+4=\square\times2$

**Question 2**

What is the missing number in the boxes?

a) There are $\square$ days in a week

b) Eighty divided by 4 is $\square$

c) A pentagon has $\square$ sides

d) This week I ate an apple on Monday, Wednesday and Saturday. I ate $\square$ apples this week.

e) The freezing point of water is $\square^\circ$C.

f) I muliply 5 by 8, add 20 and then divide this by 4. The answer is $\square$.

g) There are $\square$ days in a week

**Question 3**

Each letter represents a number. Find the value of the letter.

a) ${\bf r}+5=9$

b) ${\bf a}+12=19$

c) ${\bf h}\times8=72$

d) ${\bf q}-17=25$

e) ${\bf x}\div 18=2$

f) $74+{\bf s}=100$

g) $150-{\bf g}=50$

h) $600\div{\bf y}=4$

i) ${\bf b}+15-25=67$

j) ${\bf m}+{\bf m}=66$

k) ${\bf k}\times{\bf k}=100$

l) $6\times{\bf z}+-16=20$

m) ${\bf w}\times7=24-{\bf w}$

**Question 4**

Write each expression without the mutliplication sign

a) $2\times{\bf x}$

b) $5\times{\bf y}$

c) ${\bf h}\times3$

d) ${\bf w}\times18$

e) $5\times{\bf t}+8$

f) ${\bf u}\times6-3$

g) $2\times3\times{\bf g}$

h) $4\times{\bf k}\times5$

i) ${\bf e}\times{\bf k}$

j) ${\bf d}\times{\bf c}\times{\bf a}$

k) $9\times{\bf w}\times{\bf z}$

l) $2\times{\bf f}\times{\bf h}\times5\times{\bf g}$

**Question 5**

Write each expression without the division sign

a) ${\bf e}\div3$

b) ${\bf x}\div4$

c) ${\bf c}\div20$

d) $t\div{\bf b}$

e) $2\div{\bf b}$

f) $16\div{\bf n}$

g) ${\bf x}\div{\bf y}$

h) ${\bf st}\div{\bf r}$

i) ${\bf 6}\div{\bf x}+5$

j) ${\bf t}\div{\bf e}+{\bf 19}\div{\bf h}$

**Question 6**

Write each expression without the multiplication signs

a) ${\bf x}\times{\bf x}$

b) ${\bf g}\times{\bf g}\times{\bf g}$

c) ${\bf w}\times{\bf w}\times{\bf w}\times{\bf w}\times{\bf w}$

d) $9\times{\bf d}\times{\bf d}$

e) $20{\bf y}\times{\bf y}\times{\bf y}$

f) $5\times{\bf a}\times2\times{\bf a}$

g) $9\times{\bf h}\times{\bf h}\times{\bf h}\times3\times{\bf h}$

__Answers__

**Question 1**

a) $1$

b) $2$

c) $8$

d) $3$

e) $14$

f) $32$

g) $11$

h) $11$

i) $13$

j) $60$

k) $6$

l) $3$

m) $5$

**Question 2**

a) $7$

b) $20$

c) $5$

d) $3$

e) $0$

f) $15$

g)

**Question 3**

a) ${\bf r}=4$

b) ${\bf a}=7$

c) ${\bf h}=9$

d) ${\bf q}=42$

e) ${\bf x}=36$

f) ${\bf s}=26$

g) ${\bf g}=100$

h) ${\bf y}=150$

i) ${\bf b}=77$

j) ${\bf m}=33$

k) ${\bf k}=10$

l) ${\bf z}=6$

m) ${\bf w}=3$

**Question 4**

a) $2{\bf x}$

b) $5{\bf y}$

c) $3{\bf h}$

d) $18{\bf w}$

e) $5{\bf t}+8$

f) $6{\bf u}-3$

g) $6{\bf g}$

h) $20{\bf k}$

i) ${\bf ek}$

j) ${\bf acd}$

k) $9{\bf wz}$

l) $10{\bf fgh}$

**Question 5**

a) $\frac{\bf x}{4}$

b) $\frac{\bf e}{3}$

c) $\frac{\bf c}{20}$

d) $\frac{2}{\bf b}$

e) $\frac{2}{\bf b}$

f) $\frac{16}{\bf n}$

g) $\frac{\bf x}{\bf y}$

h) $\frac{\bf st}{r}$

i) $\frac{6}{\bf x}+5$

j) $\frac{\bf t}{\bf e}+\frac{19}{\bf h}$

**Question 6**

a) ${\bf x}^2$

b) ${\bf g}^3$

c) ${\bf w}^5$

d) $9{\bf d}^2$

e) $20{\bf y}^3$

f) $10{\bf a}^2$

g) $27{\bf h}^4$

**Question 1**

What is the missing number in the boxes?

a) $\square+1=2$

b) $\square+5=7$

c) $\square-3=5$

d) $\square\times4=12$

e) $\square\div2=7$

f) $18+\square=50$

g) $20-\square=9$

h) $\square\times8=88$

i) $5+8=\square$

j) $20\times3=\square$

k) $18\div3=\square$

l) $8-\square+4=9$

m) $6+4=\square\times2$

**Question 2**

What is the missing number in the boxes?

a) There are $\square$ days in a week

b) Eighty divided by 4 is $\square$

c) A pentagon has $\square$ sides

d) This week I ate an apple on Monday, Wednesday and Saturday. I ate $\square$ apples this week.

e) The freezing point of water is $\square^\circ$C.

f) I muliply 5 by 8, add 20 and then divide this by 4. The answer is $\square$.

g) There are $\square$ days in a week

**Question 3**

Each letter represents a number. Find the value of the letter.

a) ${\bf r}+5=9$

b) ${\bf a}+12=19$

c) ${\bf h}\times8=72$

d) ${\bf q}-17=25$

e) ${\bf x}\div 18=2$

f) $74+{\bf s}=100$

g) $150-{\bf g}=50$

h) $600\div{\bf y}=4$

i) ${\bf b}+15-25=67$

j) ${\bf m}+{\bf m}=66$

k) ${\bf k}\times{\bf k}=100$

l) $6\times{\bf z}+-16=20$

m) ${\bf w}\times7=24-{\bf w}$

**Question 4**

Write each expression without the mutliplication sign

a) $2\times{\bf x}$

b) $5\times{\bf y}$

c) ${\bf h}\times3$

d) ${\bf w}\times18$

e) $5\times{\bf t}+8$

f) ${\bf u}\times6-3$

g) $2\times3\times{\bf g}$

h) $4\times{\bf k}\times5$

i) ${\bf e}\times{\bf k}$

j) ${\bf d}\times{\bf c}\times{\bf a}$

k) $9\times{\bf w}\times{\bf z}$

l) $2\times{\bf f}\times{\bf h}\times5\times{\bf g}$

**Question 5**

Write each expression without the division sign

a) ${\bf e}\div3$

b) ${\bf x}\div4$

c) ${\bf c}\div20$

d) $t\div{\bf b}$

e) $2\div{\bf b}$

f) $16\div{\bf n}$

g) ${\bf x}\div{\bf y}$

h) ${\bf st}\div{\bf r}$

i) ${\bf 6}\div{\bf x}+5$

j) ${\bf t}\div{\bf e}+{\bf 19}\div{\bf h}$

**Question 6**

Write each expression without the multiplication signs

a) ${\bf x}\times{\bf x}$

b) ${\bf g}\times{\bf g}\times{\bf g}$

c) ${\bf w}\times{\bf w}\times{\bf w}\times{\bf w}\times{\bf w}$

d) $9\times{\bf d}\times{\bf d}$

e) $20{\bf y}\times{\bf y}\times{\bf y}$

f) $5\times{\bf a}\times2\times{\bf a}$

g) $9\times{\bf h}\times{\bf h}\times{\bf h}\times3\times{\bf h}$

__Answers__

**Question 1**

a) $1$

b) $2$

c) $8$

d) $3$

e) $14$

f) $32$

g) $11$

h) $11$

i) $13$

j) $60$

k) $6$

l) $3$

m) $5$

**Question 2**

a) $7$

b) $20$

c) $5$

d) $3$

e) $0$

f) $15$

g)

**Question 3**

a) ${\bf r}=4$

b) ${\bf a}=7$

c) ${\bf h}=9$

d) ${\bf q}=42$

e) ${\bf x}=36$

f) ${\bf s}=26$

g) ${\bf g}=100$

h) ${\bf y}=150$

i) ${\bf b}=77$

j) ${\bf m}=33$

k) ${\bf k}=10$

l) ${\bf z}=6$

m) ${\bf w}=3$

**Question 4**

a) $2{\bf x}$

b) $5{\bf y}$

c) $3{\bf h}$

d) $18{\bf w}$

e) $5{\bf t}+8$

f) $6{\bf u}-3$

g) $6{\bf g}$

h) $20{\bf k}$

i) ${\bf ek}$

j) ${\bf acd}$

k) $9{\bf wz}$

l) $10{\bf fgh}$

**Question 5**

a) $\frac{\bf x}{4}$

b) $\frac{\bf e}{3}$

c) $\frac{\bf c}{20}$

d) $\frac{2}{\bf b}$

e) $\frac{2}{\bf b}$

f) $\frac{16}{\bf n}$

g) $\frac{\bf x}{\bf y}$

h) $\frac{\bf st}{r}$

i) $\frac{6}{\bf x}+5$

j) $\frac{\bf t}{\bf e}+\frac{19}{\bf h}$

**Question 6**

a) ${\bf x}^2$

b) ${\bf g}^3$

c) ${\bf w}^5$

d) $9{\bf d}^2$

e) $20{\bf y}^3$

f) $10{\bf a}^2$

g) $27{\bf h}^4$

__Solutions__

**Question 1**

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**Question 2**

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**Question 3**

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**Question 4**

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**Question 5**

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**Question 6**

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