Question 1

Assuming that a rod represents $$x$$ and a small square represents 1 unit, the algebra tiles shown in the diagram best represent which of the following expressions?

Accepted Answer

$$3x + 4$$

Question 2

The variable $$Y in $$the multiplication problem shown 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

$$240 \cdot Y$$

Question 3

A teacher uses algebra tiles to demonstrate $$3 - (-3) to $$students. The teacher's work is shown in the diagram. Which of the following properties best justifies Step 2 of the work shown?

Accepted Answer

multiplicative inverse property

Question 4

The diagram shows how the rectangular base of a monument is surrounded by a stone path, where $$x$$ represents the narrower path-width. The width of the stone path on the longer side of the monument 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

$$8(x^2 - 13x + 30$$)$$

Question 5

Given that the points on each of the number lines shown are equally spaced, on which of the following number lines does point $$D$$ correspond with the fraction $$\frac{1}{4}$$?

Accepted Answer

Third number line

Question 6

Based on the graphs comparing the height, weight, and price of soup cans A, B, and C, which of the following statements is true?

Accepted Answer

Can A is the tallest.

Question 7

A container is made up of different cylindrical sections as shown in the diagram. Water is poured into the container at a constant rate. Which of the following graphs best shows the relationship between time and height of water in the container?

Accepted Answer

Graph C (S-shaped curve)

Question 8

Which of the following graphs represents a function?

Accepted Answer

Graph C (V-shape)

Question 9

The first part of a long car trip is made at highway speed. The driver then reduces the speed of the car in traffic, later resuming highway speed before exiting the highway and following local roads to the destination. The return home is at a steady rate on local roads. Which of the following graphs represents the relationship of distance from home, $$d$$, to time, $$t$$, for the round trip?

Accepted Answer

Graph A (returns to zero)

Question 10

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

Accepted Answer

Graph A (shaded lower left)

Question 11

Given that $$k is a $$slope value, the family of lines shown in the graph can be described using which of the following equations?

Accepted Answer

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

Question 12

The diagram 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 shows circle $$O$$ with four diameters and chord $$PQ. $$What is the measure of $$\angle OPQ$$?

Accepted Answer

$$65^\circ$$

Question 14

A sphere is inscribed in a cube as shown in the diagram above. If the volume of the cube is $$64$$ cubic inches, what is the approximate volume of the sphere?

Accepted Answer

$$41$$ cubic inches

Question 15

A circle with a circumference of $$16\pi is $$constructed on a coordinate grid. The center of the circle is located at $$(5, 5). $$Which of the following coordinates could be a point on the circle?

Accepted Answer

$$(5, 1)$$

Question 16

A bar graph would be the best choice for displaying which of the following sets of data?

Accepted Answer

the number of pairs of sneakers of each of six brands sold in a season by a particular sporting goods store

Middle School Mathematics Practice Test – Step-by-Step Study Guidance

Study Guide - Practice Questions

Study Guide - Flashcards