Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

A

q + d = 6 25q + 10d = 33

B

q + d = 6 0.25q + 0.1d = 33

C

q + d = 33 25q + 10d = 6

D

q + d = 33 0.25q + 0.1d = 6

2

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Which is a shrink of an exponential growth function?

A

f(x) = (3)x

B

f(x) = 3(3)x

C

f(x) =

D

f(x) =

3

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.

A

y > x – 2

B

y < x + 2

C

y > x + 1

D

y < x – 1

4

The function f(x) = 8 is reflected across the y-axis to create g(x). Which table of values could be used to graph g(x)?

A

A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 8, 32, 128.

B

A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries one-half, 2, 0, 32, 128.

C

A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 8, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, negative 8, negative 2, negative one-half.

D

A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entires 128, 32, 0, 2, one-half. The third column is labeled g (x) with entries negative 128, negative 32, 0, negative 2, negative one-half.

5

Which compound inequality could be represented by the graph?

A

–4 ≤ x ≤ 4

B

–2 ≤ x ≤ –1

C

x ≤ –1 or x ≥ 0

D

x ≤ 3 or x ≥ –1

6

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

A

The two functions have the same initial value.

B

The two functions will cross each other on the axis.

C

The two functions have reciprocal output values of each other for any given input value.

D

The two functions have opposite output values of each other for any given input value.

7

Question text not available

A

−2

B

Option

C

Option

D

2

8

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.Shop Shawn used: y=10+3.5xShop Dorian used: y=6x

A

3

B

4

C

14

D

24

9

Solve the inequality.2(4+2x)≥5x+5

A

x≤−2

B

x≥−2

C

x≤3

D

x≥3

10

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.What is the missing step of her solution?

A

Add 10.4 to both sides.

B

Add negative 10.4 to both sides.

C

Multiply both sides of the equation by 10.4.

D

Divide both sides of the equation by 10.4.

11

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?

A

Option

B

Option

C

Option

D

Option

12

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.

A

y > 2x + 3

B

y < 2x + 3

C

y > −2x + 3

D

y < −2x + 3

13

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

A

(4, –2)

B

(–3, 2)

C

(3, 4)

D

(1, 1)

14

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation , where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is . Which of the following is an equivalent form of the equation for the population of sample 2?

A

Option

B

Option

C

Option

D

Option

15

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

A

y – 1 = 6x

B

y – 1 = 3x

C

y – 7 = 2x – 6

D

y – 7 = x – 2

16

Combine these radicals.

A

Option

B

Option

C

Option

D

Option

17

What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?

A

–6

B

–5

C

5

D

6

18

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).

A

f(x) = –2x + 1

B

f(x) = –x + 1

C

f(x) = x + 1

D

f(x) = 2x + 1

19

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

A

6 + 2(x + 4) = (3 – x)

B

6 + 2(x + 4) = (x – 3)

C

(6 + 2)(x + 4) = (3 – x)

D

(6 + 2)(x + 4) = (x – 3)

20

The number of bacteria in a sample after x days is represented using the equation . By what approximate percent does the population change per day?

A

4.8% decrease

B

5.0% increase

C

95.2% decrease

D

105.0% increase

Cumulative Exam — Cumulative exam Answers

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