Free Printable Review of Basic Algebra Skills

1.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

2.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

3.

Evaluate 6ab + 2c if a = 3, b = 10, and c = 7

a)

19

b)

194

c)

180

d)

14

4.

Evaluate the expression when
x =5 and z = 4
z²- 2x

a)

6

b)

2

c)

17

d)

26

5.

Evaluate the expression when y = 5
2y² + 3y

a)

75

b)

65

c)

115

d)

105

6.

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

a)

-9x + 7

b)

-9x - 7

c)

9x + 7

d)

9x - 7

7.

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

a)

14x + 12

b)

14x

c)

14x - 12

d)

56x - 24

8.

Simplify:
-1x + y - z + 10z + 2x - 10y

a)

1x - 9y + 9z

b)

1x - 9z - 9y

c)

-1x - 9z - 9y

d)

-1x - 9 - 9y

9.

Simplify:

4a + 9 + a

a)

5a + 9

b)

3a-9

c)

3a + 9

d)

5a - 9

10.

Simplify 5r + 3s − 2r + 8.

a)

7r + 3s + 8

b)

10r + 8

c)

3r + 3s + 8

d)

8r - 2s + 8

11.

Simplify:

−x²+ 2−1+ 6x²− 4x²

a)

x ² -1

b)

x² +1

c)

3x² +1

d)

x ²+3

12.

Translate the verbal phrase:

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

13.

Simplify the following expression:

19 - ( 3 - 5b)

a)

16 + 5b

b)

22 + 5b

c)

16 - 5b

d)

22 - 5b

14.

What is the simplified form of the expression
4(2x - 5y) - 3x?

a)

5x - 5y

b)

5x - 20y

c)

-11x - 5y

d)

11x - 20y

15.

Translate into an algebraic expression:

5 less than the product of 7 and a number

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

16.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

17.

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

a)

2

b)

1.2

c)

12

d)

-2

18.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

19.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

20.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

21.

Solve. -2n - 4 = 32

a)

18

b)

0

c)

16

d)

-18

22.

Solve. -8 = 3n + 4

a)

4

b)

1 1/3

c)

-1 1/3

d)

-4

23.

u/4=8

a)

32

b)

4

c)

12

d)

2

24.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

25.

Solve:
-8 + 5x - 2 = 20

a)

6

b)

-6

c)

2

d)

-2

26.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

27.

Solve:
32 - 7x = -6(x + 3)

a)

50

b)

3

c)

-3

d)

-50

28.

Solve:
2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

29.

Translate:
Five more than a number

a)

x + 5

b)

5x

c)

5 - x

d)

5 divided by x

30.

Translate:
Twelve less than a number

a)

12 - x

b)

x - 12

c)

12x

d)

x + 12

31.

Solve the equation for x.
-3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

32.

Solve the equation for x.
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

33.

Solve the equation for w.
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

34.

Solve the equation for x.
-8x - 8 + 3x - 6 = -3x + 2

a)

x = -8

b)

x = 8

c)

x = 2

d)

x = -2

35.

Solve the equation for x.
12x - 15 = 6x + 9

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

36.

Which axis runs horizontally?

a)

x

b)

y

37.

How do you write a pair of coordinates?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

38.

What is the coordinate of this point?

a)

(8, 2)

b)

(2,7)

c)

(2,8)

d)

(8,3)

39.

The coordinate (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

40.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

41.

Where is T?

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

42.

The coordinate (4, -3) is in which quadrant?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

43.

Which axis runs vertically?

a)

x

b)

y

44.

Where is point F located?

a)

(7,-5)

b)

(-7,5)

c)

(7,5)

d)

(-7,-5)

45.

The point (-12,-10) is located in which quadrant?

a)

1^st Quadrant

b)

2^nd Quadrant

c)

3^rd Quadrant

d)

4^th Quadrant

46.

Solve the equation.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

47.

Solve the equation.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

48.

Solve the equation.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

49.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

50.

What is the quadratic formula?

a)

b)

c)

d)

51.

Solve the equation.

x² + 7x = x - 10

a)

-6/2 + √4

b)

-6/2 - √4

c)

no solution

d)

∅

52.

Solve the equation.

4x² +9x = 12x

a)

x = {0, 3/4}

b)

x = {0, -3/4}

c)

x = {0, 4/3}

d)

no solution

53.

Is x=2 a solution of the equation : $2x^2-x+9=x^2+4x+3$

a)

YES

b)

NO

54.

Solve the equation

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

55.

Solve for r:

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

Review of Basic Algebra Skills

Total questions: 55

Worksheet time: 2hrs 54mins

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