Free Printable Chapter 11 Solving Equations

1.

Give the next two terms of the following pattern: 3, 7, 11, 15, . . .

a)

17, 19

b)

19, 23

c)

20, 25

d)

21, 23

2.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

3.

Evaluate 8 + g when g = 28

a)

36

b)

288

c)

20

d)

828

4.

Find the rule the pattern is using:

11,9,7,5,3

a)

Subtract 2

b)

Divide 3

c)

Add 3

d)

Subtract 3

5.

What number belongs in the blank?
18,24,___,36,42

a)

28

b)

31

c)

30

d)

35

6.

Find the rule the pattern is using and write it as an expression (You must check two boxes):

8,16,32,64

a)

Add 16

b)

Multiply 2

c)

Add 8

d)

2w

e)

x + 8

7.

Which is NOT a word phrase for the algebraic expression.
24n

a)

24 times a number

b)

24 times n

c)

the product of 24 and a number

d)

the sum of 24 and a number

8.

Write an algebraic expression for the word phrase.

12 more than (m) machines

a)

12-m

b)

m-12

c)

12m

d)

m+12

9.

Write an algebraic expression for the word phrase: Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

10.

What operation is used when you see the word less than?

a)

+

b)

-

c)

x

d)

÷

11.

the sum of 8 and x , divided by 2

a)

8 + 2x

b)

(x + 8) / 2

c)

x+(8+2)

12.

Evaluate the expression if a = 10.

2a + 8

a)

10

b)

12

c)

28

d)

20

13.

Evaluate the expression when e = 2

10 - e + 4

a)

12

b)

14

c)

9

d)

7

14.

Look at the table below. Write an equation to match the pattern between m, minutes and bubbles blown, b.

a)

b = 12(m)

b)

b= m +12

c)

b = m ÷ 12

d)

none of these

15.

To evaluate means...

a)

to find a combination of numbers

b)

to find the value

16.

Pick the next three terms in the sequence: 126, 117, 108, 99, ...

a)

108, 99, 81

b)

91, 82, 73

c)

90, 81, 72

d)

89, 82, 73

17.

$3\times7-6=$

a)

27

b)

16

c)

15

d)

4

18.

$10+\left(6\div2\right)=$

a)

22

b)

12

c)

13

d)

30

19.

$32-\left(5\times6\right)=$

a)

2

b)

93

c)

43

d)

162

20.

Write each phrase as a numerical expression: The difference of nine and thirty divided by seven

a)

$\left(9-30\right)\div7$

b)

$30-9\div7$

c)

$\left(30-9\right)\div7$

d)

$\left(30+9\right)\div7$

21.

Write each phrase as a numerical expression: The sum of four and eleven divided by five

a)

$4+11\div5$

b)

$\left(4+11\right)\div5$

c)

$\left(4-11\right)\div5$

d)

$\left(4+11\right)\times5$

22.

You bought a magazine for $8 and 6 erasers. If you spent a total of $11, then how much did each eraser cost?

a)

$3.00

b)

$2.00

c)

$.50

d)

$.625

23.

You decide to rent a bike for $25 plus $3.00 per hour. If you spent a total of $40.00, how many hours did you rent the bike?

a)

1 hour

b)

4 hours

c)

2 hours

d)

5 hours

24.

A group of 8 friends went to a basketball game. They each buy a ticket and decide to share a big bag of popcorn. One bag of popcorn cost $12.00. The total cost for all their tickets and one bag of popcorn was $84.00. How much did each person spend on a ticket?

a)

$9.00

b)

$7.00

c)

$12.00

d)

$15.00

25.

For a field trip, 13 students rode in cars and the rest filled seven buses. How many students were in each bus if 251 students were on the trip?

a)

231

b)

5

c)

65

d)

34

26.

Roger scored 7 points for his basketball team. If his team scored a total of 35 points, how many points were scored by someone other than Roger?

a)

5

b)

28

c)

35

d)

42

27.

Ken has $20.00. Coffee costs $4.79 per pound. Which equation will calculate the number of pounds of coffee, n, Ken can buy?

a)

4.79n = 20.00

b)

20.00n = 4.79

c)

4.79 + n = 20.00

d)

4.79 − n = 20.00

28.

Jeremy is six years younger than Deon. Jeremy is 15 years old. Which equation can be used to find Deon’s age, y?

a)

y – 6 = 15

b)

6 – y = 15

c)

y ÷ 6 = 15

d)

6 ÷ y = 15

29.

The sum of a number, x, and 12 is 250. Which equation can be used to find the value of x?

a)

12 • x = 250

b)

250 • 12 = x

c)

12 + 250 = x

d)

x + 12 = 250

30.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

31.

What is the first step in this equation?

3x + 5 = 20

a)

Add 5 and 20

b)

Subtract 5 from both sides of the equation

c)

Add 3 and 5

d)

Multiply 3 by 5

32.

After you subtract 5 from both sides of the equation (3x + 5 = 20) what will the equation look like?

a)

3x = 25

b)

3x = 20

c)

3x = 3

d)

3x = 15

33.

What is the next step in the equation?

3x = 15

a)

Divide both sides by 3

b)

Add 3 and 15

c)

Subtract 3 and 15

d)

Multiply 3 and 15

34.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

35.

2. 2x + 6 = 14

a)

x = 4

b)

x = 10

c)

x = -4

d)

x = 3

36.

x/2 - 5 = 3

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

37.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

38.

What is the first step in solving
2y + 17 = 55

a)

Subtract 17

b)

Add 17

c)

Multiply by 2

d)

Divide by 2

39.

21 = 5 - r

a)

-16

b)

16

c)

24

d)

26

40.

$\frac{x}{13}=3$

a)

$x=16$

b)

$x=39$

c)

$x=-10$

d)

$x=\frac{3}{13}$

41.

n-1=3

a)

$n=2$

b)

$n=3$

c)

$n=19$

d)

$n=4$

42.

\frac{n}{6}=30

a)

$n=5$

b)

$n=10$

c)

$n=180$

d)

$n=\frac{8}{3}$

43.

13+x=15

a)

$x=2$

b)

$x=28$

c)

$x=7$

d)

$x=1\frac{1}{3}$

44.

\frac{x}{3}=4

a)

$x=1$

b)

$x=7$

c)

$x=12$

d)

$x=1\frac{1}{3}$

45.

x-20=-10

a)

$x=-200$

b)

$x=-\frac{1}{2}$

c)

$x=-30$

d)

$x=10$

46.

v+19=-1

a)

$v=-20$

b)

$v=18$

c)

$v=-\frac{1}{19}$

d)

$v=-19$

47.

b-13=4

a)

$b=17$

b)

$b=52$

c)

$b=-9$

d)

$b=\frac{4}{13}$

48.

n-20=-32

a)

$n=-1\frac{3}{5}$

b)

$n=-52$

c)

$n=-12$

d)

$n=-640$

Chapter 11 Solving Equations

Total questions: 48

Worksheet time: 12hrs 0mins

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