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Synergy CRT REVIEW (both days)

Total questions: 52

Worksheet time: 42mins

Name
Class
Date
1.

Solve for L, and pick the correct solution:

a)

A

b)

B

c)

C

d)

D

2.

Match the table with the situation: When Muhammed works on homework, he completes one assignment every 3 hours. Let x be the amount of hours he works.

a)
b)
c)
d)
3.

Given the function

f(x) = -3x + 2

which of the following is true?

a)

f(-1) > f(1)

b)

f(-1) < f(1)

c)

f(-1) = f(1)

d)

There is not enough information to determine a relationship

4.

Solve:

4 - 14x = -13x - 13

a)

x = -11

b)

x = -17

c)

x = 11

d)

x = 17

5.

Solve:

4(3 - 2x) - 7x = 6(x - 5)

a)

x = -2

b)

x = 7

c)

x = 2

d)

x = -7

6.

Given the graph of f(x) and g(x) above

what is the value of k?

a)

k = 5

b)

k = 3

c)

k = -5

d)

k = -3

7.

Jonathan set up an obstacle race in the park and made a graph of the results of his data. Find the intercepts and slope. Include units in your answers

a)

x-intercept = 8 seconds

y-intercept = 20 yards

slope = -1 yards per second

b)

x-intercept = 20 yards

y-intercept = 8 seconds

slope = -2.5 yards per second

c)

x-intercept = 8 seconds

y-intercept = 20 yards

slope = -2.5 yards per second

d)

x-intercept = 20 yards

y-intercept = 8 seconds

slope = -1 yards per second

8.

What is the equation for the graph?

a)
b)
c)
d)
9.

Samantha recorded the distance she traveled at certain time intervals during her trip. The results are in the table.

What is the average rate of change?

a)

120 hours per mile

b)

120 miles per hour

c)

60 hours per mile

d)

60 miles per hour

10.

Which function has a greater slope than y = 5x - 2 ?

a)
b)
c)
d)
11.
a)

They will be perpendicular

b)

They will coincide

c)

They will be parallel

d)

They will intersect at one point but not be perpendicular

12.
a)

(3, -2)

b)

(4, 0)

c)

(0, -1)

d)

(-2, 3)

13.
a)

(3, 1)

b)

(-1, 3)

c)

(1, 3)

d)

(1, -3)

14.
a)

(10, 7)

b)

(-10, 7)

c)

(7, -10)

d)

(7, 10)

15.
a)
b)
c)
d)
16.

How many students can travel in a single van?

a)

8 studentss

b)

14 students

c)

54 students

d)

56 students

17.

What is the value of x?

a)

A

b)

B

c)

C

d)

D

18.
a)
b)
c)
d)
19.
a)

(17, 4)

b)

(4, 17)

c)

(6, 2)

d)

(2, 6)

20.
a)
b)
c)
d)
21.
a)

A. 47

b)

B. 51

c)

C. 50

d)

D. 49

22.
a)

Golfer A

b)

Golfer B

23.
a)

Rap

b)

Country

c)

Hard Rock

d)

Soul

24.
a)
b)
c)
d)
25.
a)

A

b)

B

c)

C

d)

D

26.
a)

x = 0

b)

x = 3

c)

x = 5

d)

x = 4

27.
a)

The ROC is the same in both problems

b)

The ROC in f(-6) to f(-2) is steeper than f(0) to f(4).

c)

The ROC in f(0) to f(4) is steeper than f(0) to f(4)

d)

The ROCs are the same number with one being positive and the other being negative

28.

Why can absolute value equations be expressed as a piece-wise function?

a)

Because the function has two different slopes

b)

Because the slopes are the same

c)

Every graph can be written as a piece-wise function

d)

None of the above

29.
a)

y = 2x - 1

b)

y = (2)x

c)

y = 4x - 1

d)

y = (4)x

30.
a)

y = (0.7)x

b)

y = 2(0.7)x

c)

y = 2(3)x

d)

y = (3)x

31.

Which function is increasing?

a)
b)
c)
d)
32.

Which function is greater at x = 2?

a)
b)
c)
d)
33.

A principal of $1700 is deposited in an account that pays 5% interest compounded annually. Find the balance after 3 years.

a)

$1457.54

b)

$5737.50

c)

$1967.96

d)

$7650.00

34.

Simplify:


(-n2 - 4n3 + 2) - (-8n2 -4 - 6n3)

a)

-4n3 + 7n2 + 6 - 3n4

b)

2n3 + 7n2 + 6 - 3n4

c)

-5n3 + 7n2 + 6 - 3n4

d)

2n3 + 7n2 + 6

35.

Simplify:


(2m - 8)(m2 + m -3)

a)

2m3 - 6m2 - 14m +24

b)

18m3 - 62m2 +28m +10

c)

m3 + 9m2 +15m -20

d)

2m3 +9m2 -2m +15

36.

Rewrite in factored form:


28 + 24x

a)

4(1 - 2x)

b)

4(7 + 6x)

c)

20(7 + 6x)

d)

4(1 + 6x)

37.

Find the factors of

x2 + 2x - 63

a)

(x + 6)2

b)

(x + 9)(x + 7)

c)

(x - 6)(x + 10)

d)

(x + 9)(x - 7)

38.

Factor the expression

6p2 + 19 p - 7

a)

Not factorable

b)

(p + 6)(9p + 2)

c)

(2p + 7)(3p - 1)

d)

(p + 9)(9p + 10)

39.

Rewrite in factored form:


4n2 - 25

a)

(2n - 5)(2n + 5)

b)

(n - 2)2

c)

(2n - 5)2

d)

(n + 25)2

40.

Factor completely:


2n2 - 8n + 8

a)

(n + 2)(n - 2)

b)

2(n - 2)2

c)

2(n + 4)2

d)

(n - 2)2

41.

Which answer below is a solution to


6x2 + 3 = -21

a)

x = -2

b)

no real solution

c)

x = 2

d)

x = -4

42.

Which graph matches the equation

n2 - 6n + 5 = 0

a)
b)
c)
d)
43.
a)

The parabola will cross the x-axis twice

b)

The vertex of the parabola will be on the x-axis

c)

The parabola will NOT cross the x-axis

d)

Not enough information

44.
a)

p = 16

b)

p = -16

c)

p = 6

d)

p = -6

45.
a)
b)
c)
d)
46.

Which function has the greatest maximum?

a)

f(x) because 8 is greater than 7 and -2

b)

g(x) because 7 is greater than -1 and 3

c)

h(x) because 9 is greater than 7 and 3

47.
a)

-88 feet per second

b)

44 feet

c)

-16 feet per second

d)

0.5 seconds

48.
a)

144 seconds

b)

9 seconds

c)

3 seconds

49.

A rock is dropped from the side of a cliff that is 144 feet high. The height, in feet, of the rock can be modeled by the function

h(t)=-16t2+144 where t is time in seconds. How long does it take for the rock to fall 100 feet?

a)

44 seconds

b)

100 seconds

c)

2.5 seconds

d)

1.7 seconds

50.

Which graph matches

a)
b)
c)
d)
51.
a)

right 2 down 3

b)

right 2 up 3

c)

left 2 down 3

d)

left 2 up 3

52.
a)

6 seconds

b)

9 seconds

c)

1.5 seconds

d)

4.5 seconds

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