Unit Test — Cumulative exam Answers

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Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?

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What is the solution to 4|0.5x – 2.5| = 0?

x = 1.25

x = 5

x = –1.25 or x = 1.25

x = –5 or x = 5

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

–1.5

–0.5

0.5

1.5

What is the inverse of the function f(x) = 4x + 8?

h(x) = x – 2

h(x) = x + 2

h(x) = x – 2

h(x) = x + 2

What is the solution (a, c) to this system of linear equations?2a – 3c = –6 a + 2c = 11

(negative StartFraction 76 over 7 EndFraction, StartFraction 17 over 7 EndFraction)

(3, –4)

(3, 4)

(StartFraction 87 over 7 EndFraction, negative StartFraction 5 over 7 EndFraction)

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

n = 18

n = 20

n = 21

n = 23

Hiroto solved the equation 6 – 4|2x – 8| = –10 for one solution. His work is shown below.6 – 4|2x – 8| = –10 –4|2x – 8| = –16|2x – 8| = 42x – 8 = 42x = 12 x = 6

–6

–4

Which is the best description of the graph of the function f(x) = 60()x?

The graph has an initial value of 20, and each successive term is determined by subtracting .

The graph has an initial value of 20, and each successive term is determined by multiplying by .

The graph has an initial value of 60, and each successive term is determined by subtracting .

The graph has an initial value of 60, and each successive term is determined by multiplying by .

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

one solution: (–0.6, –1.6)

one solution: (–0.6, 1.6)

no solution

infinite number of solutions

Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?1 mile = 5,280 feet

19.8 feet per second

19.84 feet per second

45.3 feet per second

45.36 feet per second

Shannon graphed the system of equations.7x – 4y= –8y = x – 3What is the closest approximate solution to the system of equations?

(–5, –7.2)

(–5, –6.8)

(–5, –6.2)

(–5, –5.9)

Which table represents a direct variation function?

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 4.5, negative 3.0, negative 1.5, 0.0, 1.5.

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 4.5, negative 3.5, negative 2.5, negative 1.5. The second row, y, has the entries, 10, 8, 6, 4, 2.

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 5.5, negative 5.5, negative 5.5, negative 5.5. The second row, y, has the entries, negative 3, negative 1, 2, 5, 10.

A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 7.5, negative 2.5, 5.0, 12.5, 25.0.

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

Option

What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

b = –2

b = –1.5

b = 1.5

b = 2

The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?

x + y < 200

x + y > 200

14x + 10y > 200

14x + 10y < 200

Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3

y less-than negative one-half x + 3. y less-than one-half x.

Option

y less-than one-half x. y less-than-or-equal-to negative one-half x + 2

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?

linear

quadratic

square root

exponential

What is the value of x in the equation (x + 12) = (x + 14) – 3?

–24

–6

negative StartFraction 2 Over 3 EndFraction.

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

zero

undefined

negative

positive

Which graph represents a reflection of f(x) = (9)x across the x-axis?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and increases to (1.25, 7).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It goes through (negative 1, 3) and (negative 1.25, 7).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 3) and (1.25, negative 7).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 4 and decreases into quadrant 3. It goes through (negative 1, negative 3) and (negative 1.25, negative 7).

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Unit Test — Cumulative exam Answers

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