Free Printable Unit 1 - Linear Extensions Test Review

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

F

b)

G

c)

H

d)

I

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

Solve: |x + 3| < 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

5 < x < 11

10.

Solve. Select BOTH solutions.
$\frac{\left|-1+x\right|}{5}=1$

a)

$-4$

b)

$7$

c)

$-5$

d)

$6$

11.

Solve. Select BOTH solutions.
$5\left|7+x\right|+2=17$

a)

$-10$

b)

$3$

c)

$4$

d)

$-4$

12.

4|5x-2|+7>39

a)

-6/5<x>2

b)

x=2 or x=-6/5

c)

x=2 and x=-6/5

d)

x<-6/5 or x>2

13.

Solve:

$-3\left|2t-3\right|+5>-16$

a)

$\left(-\infty,\infty\right)$

b)

$\left(\frac{1}{3},5\right)$

c)

$\left(-\infty,-2\right)\cup\left(5,\infty\right)$

d)

$\left(-2,5\right)$

14.

Solve: $-15\le5-\frac{5}{3}x<10$

a)

$-3<x\le12$

b)

$x\ge12\$ or $x<3$

c)

$-2<x\le10$

d)

$x\le10$ or $x>2$

15.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

16.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

17.

Which of the following would result in NO SOLUTION?

a)

x < 1 or x > 5

b)

x > 1 or x < 5

c)

x < 1 and x > 5

d)

x > 1 and x < 5

18.

Write the following in interval notation

x < 8

a)

[8, ∞)

b)

(8, -∞)

c)

(-∞, 8]

d)

(-∞, 8)

19.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

20.

Convert into its interval notation:

$0\le x\le3$

a)

[0, 3]

b)

(0, 3)

c)

[0, 3)

d)

(0, 3]

21.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

22.

Which equation represents slope intercept form?

a)

y=5+2x

b)

5y=x+5

c)

y=2x+5

d)

4y+2x=8

23.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

24.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

25.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

26.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

27.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

28.

Choose the correct inequality for this graph.

a)

b)

c)

d)

29.

What is the equation of the line in point-slope form?

a)

y - 6 = 2(x - 3)

b)

y - 3 = 2(x - 6)

c)

y - 3 = 1/2 ( x - 6)

d)

y + 3 = 2(x + 6)

30.

What is the equation of the line in point-slope form?

a)

y - 90 = 1(x + 10)

b)

y + 90 = -1(x - 10)

c)

y - 90 = -1(x + 10)

d)

y - 10 = -1(x + 90)

31.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

32.

Write the equation of the line through the points (8, −7) and (−2, 8).

a)

y = 3/2x + 11

b)

y = −3/2x + 11

c)

y = −3/2x + 5

d)

y = 3/2x − 19

33.

What is the equation of the line graphed?

a)

x = -1

b)

y = -1

c)

y = -1x

d)

y = x - 1

34.

Write the equation of the line with a slope of 2/3 that goes through the point (-6,10).

a)

$y-6=\frac{2}{3}\left(x-10\right)$

b)

$y+6=\frac{2}{3}\left(x+10\right)$

c)

$y+10=\frac{2}{3}\left(x-6\right)$

d)

$y-10=\frac{2}{3}\left(x+6\right)$

35.

Which equation in standard form has a graph that passes through the point $\left(-4,2\right)$ and has a slope of $\frac{9}{2}$ ?

a)

$9x-2y=36$

b)

$9x-2y=26$

c)

$9x-2y=-40$

d)

$9x-2y=-10$

36.

Write the equation of the line that is PARALLEL to $y=\frac{2}{3}x-5$

going through the point (-9,2)

a)

$y+9=\frac{2}{3}\left(x-2\right)$

b)

$y-2=\frac{2}{3}\left(x+9\right)$

c)

$y=\frac{2}{3}x+2$

d)

$y=\frac{2}{3}x+8$

37.

Write the equation of a line that is PERPENDICULAR to $y=-2x-8$ going through the point (2,5)

a)

$y-5=\frac{1}{2}\left(x-2\right)$

b)

$y=\frac{1}{2}x+4$

c)

$y-2=\frac{1}{2}\left(x-5\right)$

d)

$y=\frac{1}{2}x+5$

38.

Write the equation of a line that is PERPENDICULAR TO $y=-4x+1$ going through (12,3)

a)

$y-3=\frac{1}{4}\left(x-12\right)$

b)

$y=\frac{1}{4}x$

c)

$y-12=\frac{1}{4}\left(x-3\right)$

d)

$y-3=-4\left(x-12\right)$

39.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

40.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

41.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

42.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

43.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

44.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40

45.

How many solutions does the system have?

a)

one

b)

no

c)

infinite

46.

Solve this system of equations by graphing.

$y=-\frac{2}{3}x+3$

$3x-y=8$

a)

b)

c)

d)

47.

Solve the system of equations using substitution

$-x-3y=-35$

$2x=y$

a)

$\left(5,\ 10\right)$

b)

$\left(-7,\ -14\right)$

c)

$\left(-14,\ -7\right)$

d)

$\left(10,\ 5\right)$

48.

Solve the system of equations using elimination

$3x+7y=-2$

$4x-7y=-19$

a)

$\left(1,\ -3\right)$

b)

$\left(2.4,\ -1.3\right)$

c)

$\left(-3,\ \ 1\right)$

d)

$\left(-1.3,\ 2.4\right)$

49.

Claire is a high school basketball player. In a particular game, she made some two point shots and some free throws (worth one point each). Claire made a total of 10 shots altogether and scored a total of 13 points.

How many two point shots did she make? (just type the number)

(a)

50.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(-4, 0)

c)

(2, 2)

d)

(3, 1)

51.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

52.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

a)

d + n = 6.60
.10d + .05n = 80

b)

d + n = 80
d + n = 6.60

c)

d + n = 80
.10d + .05n = 6.60

d)

d + n = 80
.05d + .10n = 6.60

53.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

54.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

55.

Solve the system.

a)

(3, -2, 4)

b)

(2, -3, 1)

c)

(-3, 2, -1)

d)

Infinitely many solutions

56.

Solve the system.

a)

(2, -2, 3)

b)

(2, 1, 4)

c)

(-2, 2, -3)

d)

No Solution

57.

Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21

a)

(0,0,11)

b)

(1,-2,6)

c)

(-1,2,-16

d)

(0,1,-14)

58.

Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5

a)

(7,-2,1)

b)

(13,0,-4)

c)

(10,-1,11)

d)

(1,-4,6)

59.

What is the equation of the graph below?

a)

f(x) = I x I + 1

b)

f(x) = I x I - 1

c)

f(x) = -I x I + 1

d)

f(x) = -I x I - 1

60.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, shrunk by 2, right 3, up 3

d)

reflected over the x axis, shrunk by 2, left 3, up 3

61.

What is the vertex of the following function?
y=2|x-3|+1

a)

(2,3)

b)

(-3,1)

c)

(2,-3)

d)

(3,1)

62.

Which function is graphed?

a)

$f\left(x\right)=2\left|x+2\right|-3$

b)

$f\left(x\right)=\frac{1}{2}\left|x+4\right|-3$

c)

$f\left(x\right)=\frac{1}{2}\left|x+2\right|-3$

d)

$f\left(x\right)=2\left|x+4\right|-3$

63.

The shape of the function is

a)

a U shape

b)

a V shape

c)

randomly placed curved lines

d)

an X shape

64.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

65.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

66.

Graph

a)

b)

c)

d)

67.

Graph

a)

b)

c)

d)

68.

Graph

a)

b)

c)

d)

69.

Graph

a)

b)

c)

70.

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

a)

y = 625x + 225

b)

y = 225x

c)

y = 225x + 625

d)

y = 625

Unit 1 - Linear Extensions Test Review

Total questions: 70

Worksheet time: 35mins

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