SAT Math Readiness Diagnostic Prototype

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Draft preview for review only. This is the 60-minute scaled MVP form, not a validated standardized test or live Canvas quiz.

Instructions

Total time: 60 minutes. Complete Module 1 and Module 2 as separate 30-minute sections unless a reviewer gives different local directions.

Multiple-choice questions show four labeled choices. Numeric response questions ask for a number; enter exact values unless the question indicates rounding.

Calculator policy for this static prototype is calculator-permitted by default. Future item metadata may flag local no-calculator review items.

36Total items

60Minutes

27Multiple choice

9Numeric response

Overview Module 1 Module 2

Module 1

Time: 30 minutes. Items: 18.

Back to overview

Module 1 | Question 1 of 18 | Algebra

ITEM-001

If 3x + 5 = 20, what is the value of x?

Select one answer. A5 B15 C253 D-5

Module 1 | Question 2 of 18 | Algebra

ITEM-002

The equation 2y - 4x = 10 represents a line. What is the slope of the line?

Select one answer. A2 B-2 C4 D5

Module 1 | Question 3 of 18 | Problem-Solving and Data Analysis

ITEM-003

A train travels 144 miles in 3 hours at a constant speed. What is the speed, in miles per hour?

Select one answer. A36 B48 C141 D432

Module 1 | Question 4 of 18 | Geometry and Trigonometry

ITEM-004

A triangle has base 14 units and height 9 units. What is its area, in square units?

Select one answer. A23 B63 C126 D196

Module 1 | Question 5 of 18 | Algebra

ITEM-005

Which inequality is equivalent to 5 - 2x > 13?

Select one answer. Ax > -4 Bx < -4 Cx > 4 Dx < 4

Module 1 | Question 6 of 18 | Advanced Math

ITEM-006

For x not equal to 3, which expression is equivalent to (x² - 9)/(x - 3)?

Select one answer. Ax - 3 Bx + 3 Cx² + 3 D1/(x + 3)

Module 1 | Question 7 of 18 | Algebra

ITEM-007

If x + y = 11 and x - y = 3, what is the value of x?

Select one answer. A4 B7 C8 D14

Module 1 | Question 8 of 18 | Advanced Math

ITEM-008

If f(x) = x² - 4x, what is f(6)?

Select one answer. A4 B12 C20 D36

Module 1 | Question 9 of 18 | Problem-Solving and Data Analysis

ITEM-009

A price of $80 is increased by 15%. What is the new price?

Select one answer. A$12 B$68 C$92 D$95

Module 1 | Question 10 of 18 | Algebra

ITEM-010

The line y = 3x - 7 passes through the point (k, 8). What is the value of k?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 1 | Question 11 of 18 | Advanced Math

ITEM-011

What is the smaller solution to x² - 5x + 6 = 0?

Select one answer. A1 B2 C3 D6

Module 1 | Question 12 of 18 | Geometry and Trigonometry

ITEM-012

A right triangle has legs of lengths 9 and 12. What is the length of the hypotenuse?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 1 | Question 13 of 18 | Algebra

ITEM-013

A line passes through (2, 7) and (5, 19). What is the slope of the line?

Select one answer. A3 B4 C6 D12

Module 1 | Question 14 of 18 | Advanced Math

ITEM-014

If h(x) = 2x² + 3x - 5, which expression is equivalent to h(x + 1) - h(x)?

Select one answer. A4x + 5 B4x + 1 C2x + 3 D2x² + 7x

Module 1 | Question 15 of 18 | Problem-Solving and Data Analysis

ITEM-015

Six numbers have a mean of 18. When the largest number is removed, the mean of the remaining five numbers is 16. What is the largest number?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 1 | Question 16 of 18 | Algebra

ITEM-016

For what value of a is a(2x - 3) = 10x - 15 true for all values of x?

Select one answer. A3 B5 C10 D15

Module 1 | Question 17 of 18 | Advanced Math

ITEM-017

If √(3x + 1) = 5, what is the value of x?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 1 | Question 18 of 18 | Advanced Math

ITEM-018

For which values of x is the expression 1/(x² - 4x) undefined?

Select one answer. A0 only B4 only C0 and 4 D-4 and 4

Module 2

Time: 30 minutes. Items: 18.

Back to overview

Module 2 | Question 1 of 18 | Algebra

ITEM-019

If 4x - 9 = 2x + 7, what is the value of x?

Select one answer. A2 B4 C8 D16

Module 2 | Question 2 of 18 | Advanced Math

ITEM-020

Which expression is equivalent to (2x³)(3x²)?

Select one answer. A5x⁵ B6x⁵ C6x⁶ D12x⁵

Module 2 | Question 3 of 18 | Problem-Solving and Data Analysis

ITEM-021

A bag contains 5 red tiles, 3 blue tiles, and 2 green tiles. If one tile is selected at random, what is the probability that it is not blue?

Select one answer. A310 B710 C27 D73

Module 2 | Question 4 of 18 | Geometry and Trigonometry

ITEM-022

Two angles of a triangle measure 42 degrees and 68 degrees. What is the measure, in degrees, of the third angle?

Select one answer. A70 B90 C110 D138

Module 2 | Question 5 of 18 | Algebra

ITEM-023

What is the y-intercept of the line 3x + 2y = 12?

Select one answer. A2 B3 C4 D6

Module 2 | Question 6 of 18 | Advanced Math

ITEM-024

The function q(x) = (x - 4)² + 7 is graphed in the xy-plane. What is the vertex of the graph?

Select one answer. A(-4, 7) B(4, 7) C(7, 4) D(4, -7)

Module 2 | Question 7 of 18 | Algebra

ITEM-025

A line is parallel to y = -3x + 2. What is the slope of the line?

Select one answer. A-3 B-13 C13 D2

Module 2 | Question 8 of 18 | Advanced Math

ITEM-026

If 2^{x + 1} = 32, what is the value of x?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 2 | Question 9 of 18 | Geometry and Trigonometry

ITEM-027

Two similar triangles have corresponding side lengths in the ratio 3:5. If the area of the smaller triangle is 36 square units, what is the area of the larger triangle?

Select one answer. A60 B144 C100 D180

Module 2 | Question 10 of 18 | Algebra

ITEM-028

If 0.25x + 6 = 18, what is the value of x?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 2 | Question 11 of 18 | Advanced Math

ITEM-029

Which expression is equivalent to x² + 7x + 10?

Select one answer. A(x + 5)(x + 2) B(x - 5)(x - 2) C(x + 10)(x + 1) D(x + 7)(x + 10)

Module 2 | Question 12 of 18 | Problem-Solving and Data Analysis

ITEM-030

Thirty percent of n is 45. What is the value of n?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 2 | Question 13 of 18 | Algebra

ITEM-031

A service charge is modeled by C = 25 + 8h, where C is the total cost in dollars for h hours. What does 8 represent in this model?

Select one answer. AThe fixed cost before any hours are added BThe number of hours purchased CThe cost per hour DThe total cost for 8 hours

Module 2 | Question 14 of 18 | Advanced Math

ITEM-032

What are the solutions to |x - 2| = 5?

Select one answer. A-3 and 7 B3 and 7 C-7 and 3 D7 only

Module 2 | Question 15 of 18 | Geometry and Trigonometry

ITEM-033

In a right triangle, sin(θ) = 35 and the hypotenuse has length 20. What is the length of the leg adjacent to θ?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 2 | Question 16 of 18 | Algebra

ITEM-034

Which inequality is equivalent to 2(x - 3) ≤ 10?

Select one answer. Ax ≤ 2 Bx ≤ 8 Cx ≥ 8 Dx ≤ 13

Module 2 | Question 17 of 18 | Advanced Math

ITEM-035

If f(x) = x² + 2 and g(x) = 3x - 1, what is f(g(2))?

Response: Enter a numeric value. Equivalent fractions or decimals may be accepted when mathematically equal.

Module 2 | Question 18 of 18 | Advanced Math

ITEM-036

If (x + 2)/(x - 1) = 3 and x is not equal to 1, what is the value of x?

Select one answer. A25 B52 C-52 D5