Free Practice Questions for New Mexico NM-MSSA Math Grade 8

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Key Facts: New Mexico NM-MSSA Math Grade 8 Exam

NMPED

State Agency

New Mexico Public Education Department, Assessment Bureau

Cognia (iTester)

Test Provider

NMPED NM-MSSA Resources; Cognia Help & Support

120 min (2 sessions)

Math Time

NM-MSSA Test Coordinator's Manual

Scientific (Gr 7-8, Session 2)

Calculator

NM-MSSA Calculator Policy (TCM)

English and Spanish

Languages

NM-MSSA Fact Sheet 24-25

100 practice questions

Practice Bank Size

OpenExamPrep

Prepare for the NM-MSSA Math Grade 8 test with 100 practice questions covering exponents, linear equations, functions, the Pythagorean theorem, and statistics, with worked calculations and detailed explanations.

Sample New Mexico NM-MSSA Math Grade 8 Practice Questions

Try these sample questions to review concepts for the New Mexico NM-MSSA Math Grade 8 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A function is defined by the rule y = 3x - 4. What is the output when the input is 5?

A.11

B.19

C.8

D.15

Explanation: Substitute x = 5: y = 3(5) - 4 = 15 - 4 = 11.

2Which set of ordered pairs does NOT represent a function?

A.{(1,2),(2,4),(3,6)}

B.{(1,2),(1,3),(2,4)}

C.{(0,0),(1,1),(2,2)}

D.{(-1,1),(0,0),(1,1)}

Explanation: In a function, each input maps to exactly one output. In {(1,2),(1,3),(2,4)}, the input 1 maps to both 2 and 3, so it is not a function.

3A relation maps each input to exactly one output. Which statement must be true?

A.Every input has exactly one output

B.Every output has exactly one input

C.Inputs can have multiple outputs

D.Outputs must equal inputs

Explanation: The defining property of a function is that every input is assigned exactly one output.

4Which equation represents a nonlinear function?

A.y = 2x + 3

B.y = -4x

C.y = x^2 + 1

D.y = (1/2)x - 7

Explanation: y = x^2 + 1 is nonlinear because the variable x has an exponent of 2, so the rate of change is not constant.

5What is the slope of the linear function y = 4x - 7?

A.4

B.-7

C.7

D.-4

Explanation: In y = mx + b, m is the slope. Here m = 4, so the slope is 4.

6What is the y-intercept of the line y = -2x + 6?

A.6

B.-2

C.2

D.-6

Explanation: In y = mx + b, b is the y-intercept. Here b = 6, so the y-intercept is 6.

7A linear function has the table x: 0, 1, 2, 3 and y: 3, 7, 11, 15. What is the rate of change?

A.4

B.3

C.7

D.12

Explanation: The rate of change is the change in y divided by the change in x: (7 - 3)/(1 - 0) = 4/1 = 4.

8Using the table x: 0, 1, 2, 3 and y: 3, 7, 11, 15, what is the initial value of the function?

A.3

B.4

C.0

D.7

Explanation: The initial value is the output when the input is 0. When x = 0, y = 3, so the initial value is 3.

9A table has x: 1, 2, 3, 4 and y: 2, 5, 8, 11. Is the function linear, and why?

A.Yes, the rate of change is constant at 3

B.No, the y-values are not constant

C.Yes, the rate of change is 11

D.No, x increases by 1 each time

Explanation: The rate of change is (5-2)/(2-1) = 3, (8-5)/(3-2) = 3, and (11-8)/(4-3) = 3. Since the rate is constant, the function is linear.

10A linear function passes through (0, 2) and has a rate of change of 3. Which equation represents the function?

A.y = 3x + 2

B.y = 2x + 3

C.y = 3x - 2

D.y = -3x + 2

Explanation: With rate of change (slope) m = 3 and initial value (y-intercept) b = 2, the equation is y = 3x + 2.

About the New Mexico NM-MSSA Math Grade 8 Exam

The New Mexico Measures of Student Success & Achievement (NM-MSSA) Mathematics assessment at Grade 8 measures exponents, linear equations, functions, the Pythagorean theorem, volume, and statistics proficiency on the New Mexico Common Core State Standards. It is administered online through Cognia iTester each spring in two 60-minute fixed-form sessions (non-calculator and calculator), and the Mathematics test is available in English and Spanish. This 100-question practice bank uses four-option MCQs, including worked calculations, as an English-language study adaptation.

Exam sponsor: New Mexico Public Education Department (NMPED). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Two fixed-form 60-minute sessions (120 minutes total): a non-calculator session and a calculator session, with selected-response, multi-select, technology-enhanced, and constructed-response items aligned to the NM CCSS and the Standards for Mathematical Practice. In grade 8 a scientific calculator is permitted in the calculator session. Delivered online through Cognia iTester. This local bank contains 100 English four-option practice MCQs.

Time Limit

Mathematics 120 minutes (two 60-minute sessions: non-calculator and calculator)

Passing Score

No pass/fail mark. Four performance levels are reported: Level 1 Novice, Level 2 Nearing Proficiency, Level 3 Proficient, and Level 4 Advanced. Proficient or Advanced indicates mastery of grade-level expectations.

Exam / Certification Fees

No fee to students

Exam sponsor website

Reported exam pass rate: Not applicable (performance levels are reported). Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

NM CCSS 8.F

Functions

Functions as input-output rules, linear vs. nonlinear functions, and modeling linear relationships with rate of change and initial value.

NM CCSS 8.NS and 8.EE

The Number System / Expressions & Equations

Rational and irrational numbers, integer exponents, scientific notation, square and cube roots, linear equations, and systems of linear equations.

NM CCSS 8.G and 8.SP

Geometry / Statistics & Probability

Transformations, congruence and similarity, angle theorems, the Pythagorean theorem, volume of cylinders/cones/spheres, scatter plots, and two-way tables.

Mathematical Practices (Grades 3-8)

Mathematical Practices

Problem solving, reasoning and argument, modeling, and structure and repeated reasoning.

Preparing for the New Mexico NM-MSSA Math Grade 8 Exam

What You Need to Know

Passing score: No pass/fail mark. Four performance levels are reported: Level 1 Novice, Level 2 Nearing Proficiency, Level 3 Proficient, and Level 4 Advanced. Proficient or Advanced indicates mastery of grade-level expectations.
Assessment: Two fixed-form 60-minute sessions (120 minutes total): a non-calculator session and a calculator session, with selected-response, multi-select, technology-enhanced, and constructed-response items aligned to the NM CCSS and the Standards for Mathematical Practice. In grade 8 a scientific calculator is permitted in the calculator session. Delivered online through Cognia iTester. This local bank contains 100 English four-option practice MCQs.
Time limit: Mathematics 120 minutes (two 60-minute sessions: non-calculator and calculator)
Exam / certification fees: No fee to students Official sources

Using Our Practice Resources

Work through all 100 available questions
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New Mexico NM-MSSA Math Grade 8: Suggested Study Strategy

1Check whether an equation has one solution, no solution, or infinitely many by simplifying both sides first.

2Tell linear from nonlinear functions by checking for a constant rate of change.

3Use the Pythagorean theorem (a² + b² = c²) only on right triangles, with c as the hypotenuse.

4Convert scientific notation by moving the decimal the same number of places as the exponent.

5Fit a line of best fit to a scatter plot by drawing a straight line that follows the trend of the points.

Frequently Asked Questions

What is the NM-MSSA Mathematics Grade 8 test?

It is the New Mexico Measures of Student Success & Achievement Mathematics assessment for Grade 8, administered online through Cognia iTester each spring in two 60-minute fixed-form sessions (non-calculator and calculator) with selected-response, technology-enhanced, and constructed-response items.

Are calculators allowed on the NM-MSSA Math Grade 8 test?

Session 1 is non-calculator. In Session 2, grade 8 students may use a scientific calculator (grades 7-8 use scientific calculators).

Is the NM-MSSA Math test available in Spanish?

Yes. The Mathematics assessment is available in English and Spanish for qualifying English learners.

How are NM-MSSA results reported?

There is no pass/fail mark. NM-MSSA reports four performance levels: Level 1 Novice, Level 2 Nearing Proficiency, Level 3 Proficient, and Level 4 Advanced.

Is this practice bank affiliated with NMPED?

No. This is an independent study resource covering topics from the public New Mexico Common Core State Standards. It uses four-option MCQs as a study adaptation; it is not an official NM-MSSA product or format simulation.

Free Practice Questions for New Mexico NM-MSSA Math Grade 8

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