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Sem2 final review 1/3

Total questions: 26

Worksheet time: 13mins

Name
Class
Date
1.

Solve the inequality. Graph the solution on a number line. k - 3 < 2

a)

k < -1

b)

k > 5

c)

k < 1

d)

k < 5

2.

Solve the inequality. Graph the solution on a number line. -2 ≥ w - 6

a)

4 ≥ w

b)

8 ≥ w

c)

-8 ≥ w

d)

4 ≤ w

3.

Solve the inequality: y + 5 > -2

a)

y > -7

b)

y <= -3

c)

y <= -7

d)

y > 3

4.

Solve the inequality: 1 >= 1 + p

a)

p >= 0

b)

p <= 2

c)

p <= 0

d)

p >= 2

5.

Solve the inequality: b/4 >= 12

a)

b >= -48

b)

b >= 16

c)

b >= 60

d)

b >= 48

6.

Solve the inequality: 3b8>3-\frac{3b}{8}>-3

a)

b > -24

b)

b > -8/3

c)

b > 8

d)

b < 8

7.

9m ≤ -72

a)

a. m ≥ -8

b)

b. m ≤ -8

c)

c. m ≤ -81

d)

d. m ≤ -648

8.

-2f < 18

a)

a. f < 20

b)

b. f > -36

c)

c. f < -9

d)

d. f > -9

9.

5(2g - 3) - 6g ≥ -2(g - 6) + 3

a)

a. ℝ (all real numbers)

b)

b. g ≥ 1

c)

c. g ≥ 5

d)

d. ∅ (the empty set)

10.

-5(3z + 3) < -3(5z - 4)

a)

a. z < 27

b)

b. ℝ (all real numbers)

c)

c. -30z < 27

d)

No solution

11.

0.3(2j + 2) > 2.4 - (-0.4j - 3)

a)

a. j > 24

b)

b. j > 4.8

c)

c. No solution

d)

d. j > -6

12.

9 + 11c < 2(0.5c - 5)

a)

a. c > 1.4

b)

b. c < -1.9

c)

c. c > -1.9

d)

d. c < -1.4

13.

Solve the compound inequality and graph the solution set. u + 8 ≥ 1 and u - 3 < 3

a)

a. -7 ≤ u < 6

b)

b. 0 ≤ u < 9

c)

c. -7 ≤ u < 6

d)

d. 0 ≤ u < 9

14.

2k + 5 > 1 and 3k - 9 ≤ 6

a)

-2 < k ≤ 5

b)

-2 < k ≤ 5

c)

-1 < k ≤ 3

d)

-1 < k ≤ 3

15.

Solve the system of inequalities by graphing.

yx+4y\le-x+4

y>2x4y>-2x-4

a)

Graph a

b)

Graph b

c)

Graph c

d)

Graph d

16.

Which graph correctly represents the system of inequalities y ≥ -x - 4 and y < -4?

a)

a

b)

b

c)

c

d)

d

17.

Use substitution to solve the system of equations. y = x + 1 8x - 4y = 0

a)

(1, 2)

b)

(0, 1)

c)

(2, 1)

d)

(-1, 0)

18.

Use substitution to solve the system of equations. -9 = x - 3y -2x + 6 = 6y

a)

(3, 4)

b)

infinitely many solutions

c)

(-9, 0)

d)

(-3, 2)

19.

The length of a rectangular poster is 10 inches longer than the width. If the perimeter of the poster is 124 inches, what is the width?

a)

16 inches

b)

26 inches

c)

28.5 inches

d)

36 inches

20.

The sum of two numbers is 90. Their difference is 12. What are the numbers?

a)

no solution

b)

31 and 59

c)

35 and 47

d)

39 and 51

21.

Use elimination to solve the system of equations. -2x - 10y = 10 -3x + 10y = -10

a)

(0, 1)

b)

(20, 5)

c)

(-20, -5)

d)

(0, -1)

22.

Use elimination to solve the system of equations. -4x + 2y = -2 4x + 6y = 10

a)

(-2, 3)

b)

(1, 1)

c)

(-1, -1)

d)

(2, -3)

23.

Use elimination to solve the system of equations. -8x + 8y = -8 -8x + 4y = 8

a)

(-3, -4)

b)

(3, 4)

c)

(-1, 0)

d)

(1, 0)

24.

Use elimination to solve the system of equations. 5x - 2y = -3 4x - 2y = -6

a)

(-1, 1)

b)

(1, -1)

c)

(-3, -9)

d)

(3, 9)

25.

Use elimination to solve the system of equations. -3x - 2y = -5 7x + 6y = 1

a)

(-8, 7)

b)

(1, -1)

c)

(7, -8)

d)

(-1, 1)

26.

Use elimination to solve the system of equations. -4x - 6y = -6 7x + 9y = -9

a)

(-18, 13)

b)

(13, -18)

c)

(0, -1)

d)

(0, 1)