Question 1

The algebra tiles shown in the first image represent a rod as $$x$$ and a small square as 1 unit. Which of the following expressions do the tiles best represent?

Accepted Answer

$$3x + 4$$

Question 2

In the multiplication problem shown in the second image, the variable $$Y$$ represents a single-digit number between 0 and 9. Which of the following expressions represents the amount that $$Y$$ contributes to the total product?

Accepted Answer

$$240Y$$

Question 3

Refer to the algebra tile steps shown in the third image. Which property of real numbers best justifies Step 2 of the work shown?

Accepted Answer

Multiplicative inverse property

Question 4

A monument is surrounded by a stone path as shown in the fourth image. The width of the stone path on the longer side is twice the width on the shorter side. If the region containing the stone path and monument is a $$20-$$foot by $$12-$$foot rectangle, which of the following expressions represents the area of the base of the monument in square feet?

Accepted Answer

$$2(x^2 - 26x + 120$$)$$

Question 5

Which number line in images 5–8 shows the solution set for the inequality $$-\frac{2}{3}(3m-2) \u003c \frac{1}{2}(m+1)$$?

Accepted Answer

Image 5

Question 6

Based on the graphs in image 9, which of the following statements is true about the soup cans A, B, and C?

Accepted Answer

Can B is the most expensive.

Question 7

A container is made up of different cylindrical sections as shown in image 10. Water is poured into the container at a constant rate. Which of the following graphs (images 11–14) best shows the relationship between time and height of water in the container?

Accepted Answer

Image 13

Question 8

Which of the following graphs (images 15–18) represents a function?

Accepted Answer

Image 17

Question 9

A car trip is made at highway speed, then slows in traffic, resumes highway speed, and finally follows local roads to the destination. The return home is at a steady rate on local roads. Which graph (images 19–22) best represents the relationship of distance from home $$d to $$time $$t$$ for the round trip?

Accepted Answer

Image 19

Question 10

Given the family of lines shown in image 31, which of the following equations describes the lines if $$k is $$the slope?

Accepted Answer

$$y + 3 = k(x - 2)$$

Question 11

Which of the following graphs (images 27–30) shows the solution to the system of inequalities $$-2(x-3) \u003c y+7$$ and $$3x-4y \geq 12$$?

Accepted Answer

Image 27

Question 12

The diagram in image 33 shows the net of a right cone. Which of the following expressions represents the area of the cone's base in square centimeters?

Accepted Answer

$$25\pi$$

Question 13

The diagram in image 34 shows a cell tower with a signal radius of 50 miles and angle $$ATB = 140^\circ. $$Which of the following expressions represents the length, in miles, of highway $$AB$$ within the service area?

Accepted Answer

$$100 \sin 70^\circ$$

Question 14

Given the diagram in image 36, if line $$\ell is $$parallel to line $$m$$, what is the measure of angle $$y$$?

Accepted Answer

$$150^\circ$$

Question 15

The diagram in image 40 shows a sphere inscribed in a cube. If the volume of the cube is 64 cubic inches, what is the approximate volume of the sphere?

Accepted Answer

41 cubic inches

Question 16

The stem-and-leaf plot in image 50 shows a team's scores for three seasons. What are the median score and interquartile range for these scores?

Accepted Answer

median = 21, interquartile range = 19

Step-by-Step Guidance for Selected College Algebra Practice Questions

Study Guide - Practice Questions

Study Guide - Flashcards