Quiz about Pre-Algebra Practice Test

Question 1

A toy store manager boxes up dice. Each die weighs the same number of grams, and the equation y = 20x represents the total weight, y, in grams, of a box when filled with x die.

Which graph correctly represents the proportional relationship between the weight and number of die in a box?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 2

Question 2.

Accepted Answer

$$y=2x+2$$

Answer

$$y=2x-1$$

Answer

$$y=\frac{1}{2}x+2$$

Answer

$$y=\frac{1}{2}x-1$$

Question 3

What value of w makes the equation true?

$$3\left(-4w-5\right)=-7\left(5+w\right)$$

Accepted Answer

4

Answer

-4

Answer

$$-\frac{20}{19}$$

Answer

$$\frac{50}{19}$$

Question 4

Question 4.

Accepted Answer

$$y=-\frac{1}{3}x-2$$

Answer

$$y=-3x$$

Answer

$$y=\frac{1}{3}x$$

Answer

$$y=3x-2$$

Question 5

Which equation represents a nonlinear function?

Accepted Answer

$$y=-\frac{1}{2}x^2-7$$

Answer

$$y=-\frac{8}{5}x+19.4$$

Answer

$$y=\frac{x}{4}+x$$

Answer

$$y=\frac{3}{2}-4x$$

Question 6

The linear model $$P=3.75g+1.5$$ predicts the total cost, P, in dollars, to purchase g gallons of gas at a gas station. Based on the linear model, how much should it cost to puchase 12 gallons of gas?

Accepted Answer

$46.50

Answer

$17.25

Answer

$21.75

Answer

$45.00

Question 7

Question 7.

Accepted Answer

The initial value of the function is 8

Answer

The initial value of the function is 11.2

Answer

The initial value of the function is 6

Answer

The initial value of the function is -2.7

Question 8

Question 8.

Accepted Answer

Non-Linear and Increasing

Answer

Linear and Decreasing

Answer

Linear and Increasing

Answer

Non-Linear and Decreasing

Question 9

Question 9.

Accepted Answer

The area of Square S is equal to the difference of the areas of Square T and Square R

Answer

The area of Square S is equal to the square of the area of Square R

Answer

The area of Square S is greater than the sum of the areas of Square T and Square R.

Answer

The area of Square S is less than the difference of the areas of Square R and Square T.

Question 10

Which statement about the unit rate of the graph is true?

Accepted Answer

The slope represents the unit rate of the total cost for 1 donut?

Answer

The slope represents the unit rate of the total cost for 6 donuts.

Answer

The slope represents the unit rate of the total number of donuts for $1.

Answer

The unit rate cannot be determined from the graph.

Question 11

Which statement is true?

Accepted Answer

Store 2 charges $3.75 less per donut than Store 1.

Answer

Store 2 charges $0.45 less per donut than Store 1.

Answer

Store 2 charges $0.45 more per donut than Store 1.

Answer

Store 2 charges $3.75 more per donut than Store 1.

Question 12

Question 12.

Accepted Answer

The students starts swimming at a fast rate, stops and treads water, then swims at a slower rate.

Answer

The students starts swimming at a fast rate, transitions to a slower rate, then stops swimming.

Answer

The student starts swimming at a slow rate, accelerates to a faster rate, then swims at a slower rate.

Answer

The students swims at the same, fast rate for the entire swim.

Question 13

Which is always a characteristic of the graph of a linear function?

Accepted Answer

The graph is a straight line.

Answer

The graph curves.

Answer

The graph intercepts the x-axis

Answer

The graph is entirely above the x-axis.

Question 14

Question 14.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

Question 15.

Accepted Answer

(-3, -2)

Answer

(-3, -6)

Answer

$$\left(-\frac{5}{3},\ -2\right)$$

Answer

$$\left(1,\ -\frac{2}{3}\right)$$

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