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Worksheets

1st Semester Exam Review

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

Evaluate the expression:

(52+17) ÷ 7

a)

4

b)

3.8

c)

6

d)

2

2.

Evaluate the expression:

(24 − 11) − (3 + 2) ÷ 4

a)

2

b)

4

c)

7

d)

10

3.

Evaluate the expression:

3z2 −7 when n = 6

a)

93

b)

29

c)

101

d)

-3

4.

Evaluate the expression:

2(4n + 5) when n = 2

a)

45

b)

26

c)

30

d)

24

5.

Write an expression:

The sum of 19 and a cube of a number x.

a)

x3 × 3

b)

19 - x3

c)

x3 ÷ 19

d)

19 + x3

6.

Write an inequality:

The product of 3 and number y is no more than 21

a)

3y < 21

b)

3y > 21

c)

3y ≥ 21

d)

3y ≤ 21

7.

Write an equation:

Twice the difference of a number z and 12 is equal to 10.

a)

2( z + 12) 10

b)

2z + 12 = 10

c)

2z - 12 = 10

d)

2(z - 12) = 10

8.

Check whether the given number is a solution:

2 + 3x = 10 ; 2

a)

Yes

b)

No

9.

Check whether the given number is a solution:

11y - 5 ≤ 30 ; 3

a)

Yes

b)

No

10.

15.2 feet × 2.4 feet ; write your answer with correct number of significant digits

a)

36.5

b)

36.48

c)

36.4

d)

36

11.

Order the numbers from least to greatest:

√15, -4.3, 4.2, 0, -√25

a)

-4.3, −√25, 0, √15, 4.2

b)

4.2, √15, 0, -4.3, −√25

c)

-√25, -4.3, 0, √15, 4.2

d)

none of the above

12.

Solve the equation:

15q - 17 = 13

a)

q = -3

b)

q = 3

c)

q = 2

d)

none of the above

13.

Solve the equation:

(m/10) − 6 = 20

a)

260

b)

140

c)

240

d)

none of the above

14.

Solve the equation:

4w - 21 + 5w = 51

a)

w = 3

b)

w = 26.7

c)

w = 8

d)

w = 7

15.

Solve the equation:

-12h + 39 = -4h - 17

a)

h = -7

b)

h = 4

c)

h = -4

d)

h = 7

16.

Solve the equation:

3(3n + 4) = 54 + 6n

a)

n = 10

b)

n = 14

c)

n = 12

d)

n = 20

17.

Solve the proportion:

a)

z = 12

b)

z = 21.33

c)

z = 6

d)

z = 18

18.

Solve the proportion:

a)

n = 9.735

b)

n = -9.735

c)

n = 6

d)

n = -6

19.

Solve the proportion:

a)

x = 8

b)

x = 9

c)

x = 10

d)

x = 7

20.

Write the equation so that y is a function of x (solve for y):


8x + y = 14

a)

y = 8x + 14

b)

y = -8x - 14

c)

y = -8x + 14

d)

y = 8x + 14

21.

Write the equation so that y is a function of x (solve for y):


4x = -2y + 26

a)

2x - 13 = y

b)

-2x - 13 = y

c)

-2x + 13 = y

d)

2x + 13 = y

22.

Find the slope of the line that passes through the points:


(2, 1) and (8, 4)

a)

m = ½

b)

m = ¼

c)

m = ¾

d)

m = ⅓

23.

Find the slope of the line that passes through the points:


(-2, -7) and (0, -1)

a)

undefined slope

b)

zero slope

c)

m = -3

d)

m = 3

24.

What is the slope of this line:

y = -⅗x - 10

a)

m = -⅗

b)

m = -10

c)

zero slope

d)

undefined slope

25.

What is the y-intercept of this line:

y = -⅗x - 10

a)

b = -⅗

b)

b = -10

c)

no y-intercept

26.

What is the slope of the line:

2x - 8y = 48

a)

m = 2

b)

m = -½

c)

m = -¼

d)

m = -4

27.

What is the y-intercept of the line:

2x - 8y = 48

a)

b = 2

b)

b = -½

c)

b = -6

d)

b = -4

28.

Evaluate the function for the given value:

f(x) = ⅖x - 6 when x = -5

a)

x = -12

b)

x = - 8

c)

x = -10

d)

x = - 6

29.

Write an equation in slope-intercept form from the given information:

(0, 7) ; m = 5

a)

y = 7x - 5

b)

y = 5x + 7

c)

y = 7x + 5

d)

y = 5x - 7

30.

Write an equation in slope-intercept form from the given information:

(-2, -8) ; m = 3

a)

y = 3x - 2

b)

-8 = 3(-2) + b

c)

-3x + y = -2

d)

y + 8 = 3(x + 2)

31.

Write an equation in slope-intercept form from the given information:

(1, 1) ; m = -4

a)

y = - 4x - 6

b)

y = 4x + 6

c)

y = 4x - 6

d)

y = - 4x + 6

32.

Write an equation in point-slope form from the given information:

(4, 5) and (2, 9)


choose all that apply

a)

y - 5 = -2(x - 4)

b)

y - 9 = -2(x - 2)

c)

y - 5 = -2(x - 2)

d)

y - 9 = -2(x - 4)

33.

Write an equation in point-slope form from the given information:

(-2, 2) and (8, -3)


choose all that apply

a)

y - 2 = -½(x + 2)

b)

y - 2 = -½(x - 8)

c)

y + 3 = -½(x + 2)

d)

y + 3 = -½(x - 8)

34.

Write an equation in standard form from the given information:


m = 10 ; passes through (6, 2)

a)

y = -10x + 58

b)

y = 10x - 58

c)

-10x + y = -58

d)

10x - y = 58

35.

Write an equation of that passes through the point (2, 0) and is parallel to y = -5x + 3

a)

y = -5x - 10

b)

y = 5x + 10

c)

y = -5x + 10

d)

y = 5x - 10

36.

Write an equation of that passes through the point (2, 0) and is perpendicular to

y = -5x + 3

a)

y = -⅕x - ⅖

b)

y = ⅕x + ⅖

c)

y = -⅕x + ⅖

d)

y = ⅕x - ⅖

37.

Translate the verbal phrase into an inequality:


All real numbers are less than 5.

a)

x ≤ 5

b)

x > 5

c)

x < 5

d)

x ≥ 5

38.

Translate the verbal phrase into an inequality:


All real numbers are great than or equal to -1.

a)

x ≤ -1

b)

x > -1

c)

x < -1

d)

x ≥ -1

39.

Translate the verbal phrase into an inequality:


All real numbers are great that are greater than 2 and less than or equal to 7.

a)

2 < x ≤ 7

b)

2 ≤ x < 7

c)

2 ≤ x ≥ 7

d)

2 > x < 7

40.

Translate the verbal phrase into an inequality:


All real numbers are great that are greater than 8 or less than -4.

a)

x < -4 or x > 8

b)

x > -4 or x > 8

c)

x < -4 or x < 8

d)

x > -4 or x < 8

41.

Solve the inequality if possible:

x - 9 ≥ -5

a)

x ≥ -14

b)

x ≥ 4

42.

Solve the inequality if possible:

-4s < -5s + 1

a)

s < -1

b)

s < 1

c)

s > -1

d)

s > 1

43.

Solve the inequality if possible:

-3x ≤ 30

a)

x ≤ -10

b)

x ≥ -10

c)

x ≤ -90

d)

x ≥ -90

44.

Solve the inequality if possible:

3(5w + 4) < 12w - 11

a)

w < 😎

b)

w < - 5

c)

w < 7.66

d)

w < - 7.66

45.

Solve the inequality if possible:

-2 ≤ 4 - 3a ≤ 13

a)

2 ≤ x ≤ -3

b)

2 ≥ x ≥ -3

46.

Solve the inequality if possible:

-5 ≤ 2 - h or 6h + 5 ≥ 71

a)

h ≤ 7 or h ≥ 11

b)

h ≥ 7 or h ≤ 11

c)

h ≥ 7 or h ≥ 11

d)

h ≤ 7 or h ≤ 11

47.

Solve the absolute value inequality:

a)

d < -2.5 or d < -5.5

b)

no solution

c)

d > -2.5 or d < -5.5

d)

d > -2.5 or d > -5.5

48.

Solve the absolute value inequality:

a)

f > 3.33 or f < 0.75

b)

f < 3.33 or f > 0.75

c)

no solution

d)

f > 3.33 or f > 0.75

49.

Solve the absolute value inequality:

a)

no solution

b)

y = -3 or y = 2.33

c)

y = 4 or y = 0.5

d)

y = 3 or y = -2.33

50.

Tell whether the ordered pair is a solution of the inequality:

2x - y < 4 ; (2, -1)

a)

Yes

b)

No