Free Printable Fundamentals of Algebra Review

1.

Evaluate the following expression:
-x - 6x + 10 when x = 5

a)

-20

b)

-25

c)

25

d)

20

2.

Evaluate the following expression:
x² + 5 - x when x = 5

a)

25

b)

33

c)

20

d)

35

3.

Evaluate the following expression:
t²- t + 1 when t = 5

a)

25

b)

22

c)

23

d)

21

4.

If a = 5 and b = 6, what is the value of ab - b?

a)

10

b)

12

c)

20

d)

24

5.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

6.

Tell whether the value of the variable is a solution to the equation:

7 = 13 - n; n=5

a)

no

b)

yes

7.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

8.

Is x = 6 a solution to 6x - 12 = 24?

a)

Yes

b)

No

9.

Is x = -9 a solution to -3(3x - 1) + 6x = 30?

a)

Yes

b)

No

10.

Is x =5 the correct solution to -3(4x - 8) = -36?

a)

Yes

b)

No

11.

Is x=1 the correct solution to −3(1 +6x) = 14 − x?

a)

Yes

b)

No

12.

2(4k + 7)

a)

4k-9

b)

4K+9

c)

8k-14

d)

8k+14

13.

Simplify
14(b – 10).

a)

4b

b)

b – 140

c)

14b – 140

d)

14b – 10

14.

Simplify 5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

15.

Factor Completely $6x+24$ ?

a)

$6\left(x-4\right)$

b)

$6\left(x\ +4\right)$

c)

$x\left(6+24\right)$

d)

$3\left(2x\ +\ 8\right)$

16.

-8(2x - 3)

a)

-16x+24

b)

-16x - 24

c)

16x + 24

d)

16x +18

17.

-7(w - 4) + 3w - 27

a)

4w + 15

b)

-4w + 1

18.

6(x + 1) - 5(x + 2)

a)

2x + 8

b)

x - 4

c)

11x - 4

d)

x + 16

19.

5x + 3x - 9

a)

7x - 9

b)

17x

c)

8x - 9

d)

-x

20.

5a + 2b - 7b + 4a

a)

7b - 3a

b)

9a - 5b

c)

4ab

d)

12a + 6b

21.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

22.

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

23.

Simplify the following expression:

-6x + 4(x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

24.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

d)

40f -7 + 3f

25.

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

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

26.

Which of the following is equivalent to -8 - 9(5 + 2x)?

a)

-5 - 2x

b)

-18x - 53

c)

-53 + 18x

d)

18x - 53

27.

9(10 – 8x) + 4x

a)

90 – 68x

b)

90 – 4x

c)

19 – 4x

d)

–13x + 19

28.

–(–9 – 6x) + 6(8 – 3x)

a)

57 – 12x

b)

–24x + 39

c)

3x + 57

d)

–24x + 23

29.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

30.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

31.

Expand and simplify $3\left(2a+5\right)+5\left(a-2\right)$

a)

$11a+5$

b)

$6a+15$

c)

$11a-5$

d)

$6a+15+5a-10$

32.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

33.

Is 6 the solution to the equation

5x +8 =2x +26

a)

Yes

b)

No

34.

Is -10 the solution to the equation

3x -14 =x +2

a)

Yes

b)

No

35.

Is 11 the solution to the equation

5x + 26 = 9x +18

a)

Yes

b)

No

36.

Factor: $3x+12$

a)

$3(x+4)$

b)

$15$

c)

$3(x+12)$

d)

$3(x+9)$

37.

Factor: $6x+9$

a)

$3(2x+3)$

b)

$3(x+3)$

c)

$6(x+3)$

d)

$2(x+3)$

38.

Factor the terms:

24c-18

a)

$6\left(4c+3\right)$

b)

$6\left(4c-3\right)$

c)

$2\left(12c-9\right)$

d)

$2\left(-12c+9\right)$

39.

Factor: 10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

40.

Factor: 3a + 15

a)

a + 15

b)

3(a + 5)

c)

3(a + 15)

d)

5(a + 3)

41.

Factor: 12s + 18r

a)

2(9s + 6r)

b)

6(2s + 3r)

c)

3(6s + 4r)

d)

6(3s + 2r)

42.

Factor the expression:

4d + 12e

a)

12(d + e)

b)

4d + 12e

c)

4(d + 3e)

d)

4(d + e)

43.

Factor the expression:

18x + 30y

a)

6(3x + 5y)

b)

18(x + y)

c)

30(x + y)

d)

18x + 30y

44.

Factor:

12x + 7

a)

Prime

b)

x(12+7)

c)

4(3x + 4)

d)

6(2x + 1)

45.

Five times Mike's age, increased by nine

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

46.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

47.

Translate: the sum of eight and the product of a number and nine

a)

$9x+8$

b)

$8x+9$

c)

$\frac{x}{9}+8$

d)

$9x-8$

48.

Translate: the square of the sum of a number and sixteen

a)

$x^2+16$

b)

$\left(x+16\right)^2$

c)

$\left(x-16\right)^2$

d)

$x^2-16$

49.

Match the following:

a)

$\sqrt[]{x}$

1.

the square root of a number

b)

$x^2$

2.

a number squared

c)

$\sqrt[3]{x}$

3.

the cube root of a number

d)

$x^3$

4.

a number cubed

50.

Translate: five times the sum of a number and four

a)

$5x+4$

b)

$5\left(x+4\right)$

c)

$5\left(4x\right)$

d)

$4\left(x+5\right)$

Fundamentals of Algebra Review

Total questions: 50

Worksheet time: 3hrs 30mins

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