Free Printable Substitution Introduction

1.

A synonym for solve.

(a)

2.

This is a letter that can be replaced by any given value (e.g. $t$ ).

(a)

3.

Evaluate the expression $0.1m+8-12n$ when $m=30$ and $n=\frac{1}{4}$

(a)

4.

Evaluate the expression $5w-\frac{w}{x}$ when $w=6$ and $x=2.$

(a)

5.

Evaluate the expression $8+\frac{w}{4}$ when $w=16.$

(a)

6.

Evaluate the expression $\frac{p}{2}-5$ when $p=14.$

(a)

7.

Evaluate the expression $13-0.75w+8x$ when $w=12$ and $x=\frac{1}{2}.$

a)

3

b)

4.5

c)

8

d)

13

8.

Evaluate the expression $ab-0.5b$ when $a=1$ and $b=5.$

a)

2.5

b)

0

c)

15.45

d)

-5

9.

Evaluate the expression $\frac{3}{7}r+\frac{5}{8}s$ when $r=14$ and $s=8.$

a)

7

b)

11

c)

15

d)

24 $\frac{8}{15}$

10.

Evaluate the expression $8r-rs$ when $r=6$ and $s=5.$

a)

-23

b)

116

c)

18

d)

-17

11.

Evaluate the expression $3+jk+k^3$ when $j=2$ and $k=6.$

a)

83

b)

24

c)

47

d)

231

12.

Evaluate the expression $5w-\frac{w}{x}$ when $w=6$ and $x=2.$

a)

50

b)

27

c)

53

d)

28

13.

Evaluate the expression $3z$ when $z=9.$

a)

39

b)

3

c)

$\frac{1}{2}$

d)

27

14.

Evaluate the expression $9-b$ when $b=8.$

a)

8

b)

1

c)

3

d)

9

15.

Evaluate the expression $8+\frac{w}{4}$ when $w=16.$

a)

12

b)

24

c)

2

d)

8

16.

Evaluate the expression $4g-12$ when $g=5.$

a)

33

b)

5

c)

8

d)

12

17.

Evaluate the expression $\frac{n}{6}+2$ when $n=12.$

a)

14

b)

4

c)

$2\frac{1}{2}$

d)

7

18.

What does it mean to substitute?

a)

to add different variables together and see what you get

b)

to graph and find the intersection

c)

guess and check

d)

to replace the value of a variable with an equivalent expression

19.

Which one shows the correct substitution for the system?

y = 2x + 1

2x - 3y = 7

a)

2(2x + 1) - 3y = 7

b)

2x - 3(2x + 1) = 7

c)

y + 2x - 3y = 8

d)

2x - 2x + 1 = 7

20.

Which one shows the correct substitution for the system?

x = 7 + y

y = 7 - 2x

a)

x = 7 + (7 - 2x)

b)

y = 7 - 7 + y

c)

x = 7 + 7

d)

7 + y = 7 - 2x

21.

Which choice shows substitution correctly?

x = 3y -7

2x + 4y = 9

a)

2x + 4(3y - 7) = 9

b)

2(3y -7) + 4y = 9

22.

Which best describes a solution to a system of equations?

a)

A point $\left(x,y\right)$

b)

A line $y=mx+b$

c)

One value $x$

d)

One value $y$

23.

Which equation is correctly using substitution for the system shown?

y = x + 6

y = -2x − 3

a)

x + 6 = -2x − 3

b)

y = x + 6 − 2x − 3

24.

What should the expression look like when the values (numbers) are substituted in for the variables (letters)?

p +q+2 If p=3 and q=5,

a)

3 + 3 + 2

b)

3p + 5q + 2

c)

5 + 5 + 2

d)

3 + 5 + 2

25.

Using the substitution method to solve this system, what would be the first step?

a)

Substitute 3x+1 for x in the second equation

b)

Substitute 3x+1 for y in the second equation

c)

solve the first equation

26.

Write the new equation to solve after using the substitution process correctly for the system.

y = 5x - 7

-3x - 2y= -12

a)

-3(5x - 7) - 2y= -12

b)

-3x - 2(5x-7) = -12

c)

-3x -2y = 12(5x-7)

27.

Write the new equation to solve after using the substitution process correctly for the system.

y = x - 1

2x - 3y= -1

a)

2(x-1) - 3y= -1

b)

2x - 3(x-1) = -1

c)

2x -3y = 12(x-1)

Substitution Introduction

Total questions: 27

Worksheet time: 2hrs 39mins

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