The distance, $$d$$ , in meters, covered by a runner in each lap of a race can be described as an arithmetic sequence. The explicit rule for the arithmetic sequence is $$d_n=5+3\left(n-1\right)$$ where n is the lap number and n = 1, 2, 3, 4, 5, 6, 7, 8. Alex claims that the explicit rule shows that 3 additional meters are covered in each subsequent lap. Which statement BEST justifies or refutes Alex's claim?

Alex is correct because d 1 would represent the change in distance and d 1 =5

Alex is incorrect because d 1 would represent the change in distance and d 1 =0

The graph shown represents Lisa’s attempt at graphing the system of linear inequalities and shading the solution set. What TWO mistakes did Lisa make when graphing the solution set for the system of linear inequalities? $$y>3x-1$$ $$y\ge 2x+3$$

She graphed y ≥ 2x + 3 with a dashed line when it should be a solid line.

She graphed y > 3x - 1 with a solid line when it should be a dashed line.

She shaded the solution set on the correct side of the line for y > 3x - 1 but on the wrong side of the line for y ≥ 2x + 3.

She shaded the solution set on the correct side of the line for y ≥ 2x + 3 but on the wrong side of the line for y > 3x - 1.

She shaded the solution set on the wrong side of the line for both inequalities.

Is the product of 3/10 and 5/18 rational or irrational?

The product is 1/12, therefore it is rational.

The product is 1/12, therefore it is irrational.

The product is 15/180, therefore it is rational.

The product is 15/180, therefore it is irrational.

Consider the equation $$c=d\sqrt[]{49}$$ where d is an irrational number. Which statement is TRUE for c ?

Since $$\sqrt[]{49}$$ is rational, the product of $$\sqrt[]{49}$$ and an irrational number is irrational. The number c is also irrational.

Since $$\sqrt[]{49}$$ is irrational, the product of two irrational numbers is rational. The number c is also rational.

Since $$\sqrt[]{49}$$ is irrational, the product of two irrational numbers is irrational. The number $ c $ is also irrational.

Since $$\sqrt[]{49}$$ is rational, the product of $$\sqrt[]{49}$$ and an irrational number is rational. The number c is also rational.

Which statement correctly describes the classification of each number and the sum of $$3\sqrt[]{7}$$ and $$8\sqrt[]{7}$$ ?

Both of the numbers are irrational. The sum of two irrational numbers is sometimes irrational.

Both of the numbers are rational. The sum of two rational numbers is sometimes irrational.

Both the numbers are rational. The sum of two rational numbers is always irrational.

Both the numbers are irrational. The sum of two irrational numbers is always irrational.

A triangle has a base of 6 units and a height of √3 units. Which statement is TRUE about the area of the triangle?

It is irrational because the product of a rational number and an irrational number cannot be written as a fraction of integers.

It is rational because the product of a rational number and an irrational number can be written as a fraction of integers.

It is irrational because the product of a rational number and an irrational number can be written as a fraction of integers.

It is rational because the product of a rational number and an irrational number cannot be written as a fraction of integers.

Algebra Midterm Review

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.D.12, HSF.BF.A.2, HSN.RN.B.3

Standards-aligned

Shawna Tucker

Used 8+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2

7

9

14

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Alex is correct because d₁would represent the change in distance and d₁=5

Alex is incorrect because d₁ would represent the change in distance and d₁=0

Alex is correct because the common difference would represent the change in distance and the common difference is 3.

Alex is incorrect because the common difference would represent the change in distance and the common difference is -1

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph shows a sequence.
Determine the explicit and recursive forms of the sequence.

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Michael is preparing a snack with apple juice and granola bars. He wants to keep his snack under 500 calories. One glass of apple juice contains 120 calories and one granola bar contains 80 calories.
If x represents the number of glasses of apple juice, and y represents the number of granola bars, which inequality represents the number of glasses of apple juice and granola bars Michael can have?

120x + 80y < 500

120x + 80y ≤ 500

120x + 80y = 500

120x + 80y ≥ 500

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following describes the graph of y ≤ 3x - 4 ?

The boundary line is solid with a positive slope. The line crosses the y-axis at (0, -4) and the solutions are shaded below the line.

The boundary line is solid with a positive slope. The line crosses the y-axis at (0, -4) and the solutions are shaded above the line.

The boundary line is dashed with a positive slope. The line crosses the y-axis at (0, 3) and the solutions are shaded below the line.

The boundary line is dashed with a positive slope. The line crosses the y-axis at (0, -4) and the solutions are shaded above the line.

Tags

CCSS.HSA.REI.D.12

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Algebra Midterm Review

20 questions

The graph shows a sequence.
Determine the explicit and recursive forms of the sequence.

Which of the following describes the graph of y ≤ 3x - 4 ?

Which inequality is represented in the graph?

The following system of linear inequalities is given.
x + 4 ≥ 2
6x + y ≤ -3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra Midterm Review

20 questions

The graph shows a sequence.Determine the explicit and recursive forms of the sequence.

Which of the following describes the graph of y ≤ 3x - 4 ?

Which inequality is represented in the graph?

The following system of linear inequalities is given. x + 4 ≥ 2 6x + y ≤ -3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The graph shows a sequence.
Determine the explicit and recursive forms of the sequence.

The following system of linear inequalities is given.
x + 4 ≥ 2
6x + y ≤ -3