A student solved $$\frac{3}{4-x} = \frac{x}{7}$$ in six steps, as shown. Step 1: $$3=\frac{x(4-x)}{7}$$ Step 2: $$21=x(4-x)$$ Step 3: $$21=-x^2+4x$$ Step 4: $$x^2-4x+21=0$$ Step 5: $$(x-7)(x+3)=0$$ Step 6: $$x=7,\ x=-3$$ Which statement is an accurate interpretation of the student's work?

Only $$x = 7$$ is a solution to the original equation.

Emily is solving the equation 2(x + 9) = 4(x + 7) + 2. Her steps are shown. Part A Click on the first step in which Emily made an error.

Step 1: 2(x + 9) = 4(x + 7) + 2

Consider this solution to a problem. Problem: -4(6 - y) + 4 = -4 Step 1: -24 - 4y + 4 = -4 Step 2: -20 - 4y = -4 Step 3: -4y = 16 Step 4: y = -4 What is the correct response?

Step: 3 Correct solution: y = 5

Step: 2 Correct solution: y = -4

Step: 4 Correct solution: y = 4

Step: 1 Correct solution: y = 4

In the given figure, quadrilateral ABCD is a rectangle, and quadrilateral ACED is a parallelogram. Ted claims that the two shaded triangles must be congruent. Is Ted's claim correct?

Yes, the two shaded triangles must be congruent.

No, the two shaded triangles are not necessarily congruent.

Given the function $$y = 3x^2 - 12x + 9$$ , which of the following lists all the x-intercepts and the minimum value of the function?

x-intercepts: (1, 0) and (3, 0); minimum: (2, -3)

x-intercepts: (0, 0) and (3, 0); minimum: (2, -1)

x-intercepts: (-1, 0) and (-3, 0); minimum: (-2, -3)

x-intercepts: (-1, 0) and (-3, 0); minimum: (-2, -1)

The basketball team sold t-shirts and hats as a fund-raiser. They sold a total of 23 items and made a profit of $246. They made a profit of $10 for every t-shirt they sold and $12 for every hat they sold. Determine the number of t-shirts and the number of hats the basketball team sold.

Number of t-shirts: 15; Number of hats: 8

Number of t-shirts: 9; Number of hats: 14

Number of t-shirts: 10; Number of hats: 13

Number of t-shirts: 12; Number of hats: 11

CAASPP Practice Test Math

10th Grade

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33 Qs

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CAASPP Practice Test Math

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

6.EE.B.8, HSA.REI.A.1, HSF.IF.A.3

+22

Standards-aligned

Shawna Moller

Used 5+ times

FREE Resource

33 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(m - 5)(m + 5)

Tags

CCSS.HSA.APR.C.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

MATCH QUESTION

1 min • 1 pt

Click the table to indicate whether each equation has no real solution, one real solution, or infinitely many real solutions.

Infinitely Many Real Solutions

One Real Solution

No Real Solution

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The student solved the equation correctly.

The student made an error in step 1.

The student made an error in step 5.

Tags

CCSS.HSA.REI.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When a transversal intersects a pair of parallel lines it will create two pairs of alternate exterior angles. Ricky claims the angles within each pair are congruent to each other, but not congruent to either angle in the other pair. Which of the following supports Ricky's claim?

Drawing a transversal through the point that creates two pairs of alternate exterior angles, each pair congruent within itself but not to the other pair.

Drawing a transversal that creates all four alternate exterior angles congruent to each other.

Draw a transversal that creates no congruent alternate exterior angles.

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which inequality represents all possible solutions of −6n < −12?

n < 72

n > 2

n < 2

n > 72

Tags

CCSS.6.EE.B.8

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CAASPP Practice Test Math

33 questions

Click the table to indicate whether each equation has no real solution, one real solution, or infinitely many real solutions.

When a transversal intersects a pair of parallel lines it will create two pairs of alternate exterior angles. Ricky claims the angles within each pair are congruent to each other, but not congruent to either angle in the other pair. Which of the following supports Ricky's claim?

Which inequality represents all possible solutions of −6n < −12?

Consider this right triangle. Enter the ratio equivalent to sin(B).

Cheryl claims that any irrational number squared will result in a rational number. Which of the following proves Cheryl wrong?

A train travels 250 miles at a constant speed (x), in miles per hour. Enter an equation that can be used to find the speed of the train, if the time to travel 250 miles is 5 hours.

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