Answers Algebra IUnit Test

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2x + 4y = 12y = x – 3

(–1, 8)

(8, –1)

(5, StartFraction one-half EndFraction)

(StartFraction one-half EndFraction, 5)

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Analyze the graph of the function f(x) to complete the statement.

Option

Which is the best approximation for the solution of the system of equations?y = x + 1y = 3x – 2

(0.45, 0.88)

(0.88, 0.65)

(0.88, 1.1)

(1.3, 0.88)

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.2.3p – 10.1 = 6.4p – 42.3p – 10.1 = 6.49p – 4230p – 1010 = 650p – 400 – p23p – 101 = 65p – 40 – p2.3p – 14.1 = 6.4p – 4

2.3p – 10.1 = 6.4p – 4

2.3p – 10.1 = 6.49p – 4

230p – 1010 = 650p – 400 – p

23p – 101 = 65p – 40 – p

2.3p – 14.1 = 6.4p – 4

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

y = –3x

y = –

y =

y = 3x

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

f(x) = y + 3

f(x) = –y – 3

f(x) = –x + 3

f(x) = x – 3

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.

The total number of stamps is 25.

The total value of the stamps is $18.75.

The total number of stamps is 35.

The total value of the stamps is $19.15.

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room?Recall that the area of a square is calculated by l2, where l is the length of one side.

feet

Timmy writes the equation f(x) = x – 1. He then doubles both of the terms on the right side to create the equation g(x) = x – 2. How does the graph of g(x) compare to the graph of f(x)?

The line of g(x) is steeper and has a higher y-intercept.

The line of g(x) is less steep and has a lower y-intercept.

The line of g(x) is steeper and has a lower y-intercept.

The line of g(x) is less steep and has a higher y-intercept.

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)

The slope of g(x) is the opposite of the slope of f(x).

The slope of g(x) is less than the slope of f(x).

The slope of g(x) is greater than the slope of f(x).

The slope of g(x) is equal to the slope of f(x).

A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).

Each strawberry contains 4 calories.

Each strawberry contains 3 calories.

Twenty-four strawberries contain 6 calories.

Four strawberries contain 15 calories.

Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)?

f(x) = x + 4

f(x) = x + 6

f(x) = x – 10

f(x) = x – 12

Which is the graph of the function f(x) =

Option

What is the solution to –4(8 – 3x) ≥ 6x – 8?

x ≥ –

x ≤ –

x ≥ 4

x ≤ 4

Which describes how to graph by transforming the parent function?

Reflect the parent function over the y-axis, and translate it 3 units to the right.

Reflect the parent function over the y-axis, and translate it 3 units to the left.

Reflect the parent function over the x-axis, and translate it 8 units to the right.

Reflect the parent function over the x-axis, and translate it 8 units to the left.

What is the vertex of the graph of f(x) = |x + 3| + 7?

(3, 7)

(7, 3)

(–3, 7)

(7, –3)

The graph shows a vertical translation of y = .

{y|y < 0}

{y|y ≥ 0}

{y|y is a natural number}

{y|y is a real number}

The axis of symmetry for a quadratic equation can be found using the formula , where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane.What is the equation when solved for a?

Option

Solve the equation.–x + 8 + 3x = x – 6

x = –18

x = –14

x = 2

x = 4

The function f(x) is shown on the graph.

0 only

–6 only

–2, –1, 1, and 3 only

–6, –2, –1, 1, and 3 only

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Each eraser costs $1.00.

Each eraser costs $1.50.

Three erasers cost $6.

Seven erasers cost $3.50.

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

$1.50

$2.00

$2.50

$3.00

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

[–4, –2.5]

[–2, –1]

[1, 2]

[2.5, 4]

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

Only values that satisfy y > 3x + 1 are solutions.

Only values that satisfy y < 3x – 3 are solutions.

Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

There are no solutions.

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.

y > x – 2

y < x + 2

y > x + 1

y < x – 1

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