Free Printable ALG1 - Unit 2 - Algebraic Expressions and Equations

1.

Simplify 5(2 - 7n) =

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

2.

Simplify the expression:
6 + 2(7x - 3)

a)

14x + 12

b)

14x

c)

14x - 12

d)

56x - 24

3.

Simplify:
5x - 6x - 8x + 7

a)

-9x + 7

b)

-9x - 7

c)

9x + 7

d)

9x - 7

4.

Simplify the expression: 3(1 - 2x) + 7

a)

21 - 6x

b)

24 + 6x

c)

10 + 6x

d)

10 - 6x

5.

-4(-4d - 5)

a)

16d+20

b)

-16d+20

c)

16d-20

d)

-16d-20

6.

3(2x+1)+2(x-4)

a)

8x-11

b)

8x+11

c)

8x+5

d)

8x-5

7.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

7x - 11

b)

7x + 11

c)

-3x + 11

d)

3x + 11

8.

Simplify the following expression:
-7x - 9x

a)

-2x

b)

2x

c)

-16x

d)

16x

9.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

10.

Simplify:
2x - 5x + 6x + 7 + 14

a)

3x + 21

b)

3x + 22

c)

-3x + 21

d)

-3y + 22

11.

3x - 5x

a)

2x

b)

8x

c)

-2x

d)

15x²

12.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

13.

six less than the number of men
Let m = number of men

a)

6 - m

b)

m - 6

14.

four more than the number of books
Let b = number of books

a)

b + 4

b)

b - 4

15.

six times the number of girls
Let g = number of girls

a)

6 + g

b)

6g

c)

g - 6

16.

eight plus triple the number of shirts
Let s = number of shirts

a)

8 + 3s

b)

8 + s

c)

3s - 8

17.

eleven less than twice the number of people
Let p = number of people

a)

11 - 2p

b)

2p - 11

18.

nine increased by the number of gallons
Let g = number of gallons

a)

9 + g

b)

g - 9

19.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

20.

The quotient of a number and 8

a)

8g

b)

8/g

c)

g+8

d)

g/8

21.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

22.

Three times the sum of 2 and e.

a)

3e+2

b)

3(e-2)

c)

3(e+2)

d)

2e+3

23.

4 less than the product of 5 and p

a)

4 - 5p

b)

5p - 4

c)

4p - 5

d)

5 - 4p

24.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

25.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

26.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

27.

Evaluate the expression when x = 3.
2x² - 5

a)

31

b)

12

c)

7

d)

13

28.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

29.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

30.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

31.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

32.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

33.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

34.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

35.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

36.

Solve. -2n - 4 = 32

a)

18

b)

0

c)

16

d)

-18

37.

Solve. -8 = 3n + 4

a)

4

b)

1 1/3

c)

-1 1/3

d)

-4

38.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

39.

What is the second step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide -3 on both sides.

40.

Find the Error
What error did the student make when solving the equation:
5x + 6 = 66
5x - 6 = 66 -6
5x = 60
5*5x= 60*5
x = 300

a)

The student subtracted 6 from both sides instead of adding

b)

Student multiplied by 5 instead of dividing by 5

c)

Student got the wrong answer when subtracting 66-6

d)

The student did not correctly eliminate the variable from one side of the equation

41.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

42.

The steps in solving
4b + 4 = 24 are:

a)

Add 4 to both sides then divide both sides by 4

b)

Add 4 to both sides then multiply both sides by 4

c)

Subtract 4 from both sides then multiply both sides by 4

d)

Subtract 4 from both sides then divide both sides by 4

43.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

44.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

45.

30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

46.

5 - 2t = 3t

a)

1

b)

5

c)

3

d)

2

47.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

48.

-8y = -3y -15

a)

3

b)

-3

c)

5

d)

-5

49.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

50.

Solve:
6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

51.

6x - 4(x - 1) = 14

a)

x = 5

b)

x = -5

c)

x = 1.4

d)

x = 3

52.

-2(7 - 4x) = 10

a)

x = 3

b)

x = -3

c)

x = 6

d)

x = -5

53.

Which of the following is equivalent to 9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

54.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

55.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

56.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

57.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

58.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

59.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

60.

8w - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

ALG1 - Unit 2 - Algebraic Expressions and Equations - REVIEW

Total questions: 60

Worksheet time: 1hrs 5mins

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