Answers FL-1200310-Algebra 1 ACumulative Exam

Cumulative Exam — Cumulative exam Answers

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What is the vertex of the graph of f(x) = |x – 13| + 11?

(–11, 13)

(–13, 11)

(11, 13)

(13, 11)

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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

Which is the graph of y – 3 = (x + 6)?

Option

Which statements are true? Select three options.

The line x = 0 is perpendicular to the line y = –3.

All lines that are parallel to the y-axis are vertical lines.

All lines that are perpendicular to the x-axis have a slope of 0.

The equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2.

The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

What is the range of the given function?{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

{x | x = –5, –4, –2, 0, 2}

{y | y = –9, –3, 0, 5, 7}

{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}

{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

Billy graphed the system of linear equations to find an approximate solution.y = x + y = x – 3Which points are possible approximations for this system? Select two options.

(1.9, 2.5)

(2.2, –1.4)

(2.2, –1.35)

(1.9, 2.2)

(1.9, 1.5)

Raphael graphed the system of equations shown.y = – 3y = x – 0.8What is the best approximation for the solution to this system of equations?

(–3.2, –3)

(–2.9, –3)

(–2.2, –3)

(–1.9, –3)

On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4).

It is not a function because the points are not connected to each other.

It is not a function because the points are not related by a single equation.

It is not a function because there are two different x-values for a single y-value.

It is not a function because there are two different y-values for a single x-value.

Solve the equation.5x + 8 − 3x = −10

x = −9

x = −1

x = 1

x = 9

Two functions are defined as shown.f(x) = x – 2g(x) = –1Which graph shows the input value for which f(x) = g(x)?

Option

A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2)

(–3, 0)

(–3, 3)

(0, 2)

(3, 1)

Consider the functions shown on the graph.

0.0

0.5

1.5

3.0

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).

h = –3.5

h = –1.5

h = 1.5

h = 3.5

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

$11

$12

$13

$14

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).

all real numbers

all real numbers greater than or equal to 0

all real numbers greater than or equal to 1

all real numbers greater than or equal to 2

What value of b will make the system of equations have an infinite number of solutions?y = -2x + b 4x + 2y = 8

-4

On a coordinate plane, an absolute value graph has a vertex at (10, 6).

(–∞, 6)

(–∞, 10)

(6, ∞)

(10, ∞)

What is the vertex of the graph of g(x) = |x – 8| + 6?

(6, 8)

(8, 6)

(6, –8)

(–8, 6)

How many solutions does this linear system have?y = 2x – 5 –8x – 4y = –20

one solution: (–2.5, 0)

one solution: (2.5, 0)

no solution

infinite number of solutions

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

miles he runs.

months he runs.

miles he ran the first day.

calories he burns.

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