MAST Grade 8 Linear Equations in One Variable. Practice it free.

Students recognize different solution types and solve linear equations with rational number coefficients. This Grade 8 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 8Testlet 62 mapped skills
What the test measures

Linear Equations in One Variable skills

  1. Recognize equations with different types of solutions.

  2. Solve linear equations with rational number coefficients.

  3. Standards: 8.EE.7, 8.EE.7.a, 8.EE.7.b

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Practice by skill

Topics mapped to this domain

Multi-step linear equations

Grade 810 questions

Solve linear equation for x (ACT)

Grade 810 questions
Try it now

8 free questions · 0/0 correct

Practice playmedium

What value of xx solves 12(4x+6)+x=15\dfrac{1}{2}(4x + 6) + x = 15?

Distribute 12\dfrac{1}{2}: 2x+3+x=152x + 3 + x = 15. Combine like terms: 3x+3=153x + 3 = 15. Subtract 33 from both sides: 3x=123x = 12. Divide by 33: x=4.x = 4\textsf{.}

Practice playeasy

If y=4x+2y = 4x + 2, which expression is equal to xx?

Subtract 22 from both sides: y−2=4xy - 2 = 4x. Divide both sides by 44: x=y−24x = \dfrac{y - 2}{4}.

Practice playmedium

Solve 13(6x−9)+2x=11\dfrac{1}{3}(6x - 9) + 2x = 11 for xx.

Distribute 13\dfrac{1}{3}: 2x−3+2x=112x - 3 + 2x = 11. Combine like terms: 4x−3=114x - 3 = 11. Add 33 to both sides: 4x=144x = 14. Divide by 44: x=72.x = \dfrac{7}{2}\textsf{.}

Practice playeasy

If 4y=x+84y = x + 8, which expression is equal to xx?

Subtract 88 from both sides: 4y−8=x4y - 8 = x. So x=4y−8x = 4y - 8.

Practice playmedium

What value of xx is the solution to the given equation?

5x+4=2x+195x + 4 = 2x + 19

Subtract 2x2x from both sides: 3x+4=193x + 4 = 19. Subtract 44 from both sides: 3x=153x = 15. Divide by 33: x=5.x = 5\textsf{.}

Practice playmedium

If 2y=5x−102y = 5x - 10, which expression is equal to xx?

Add 1010 to both sides: 2y+10=5x2y + 10 = 5x. Divide both sides by 55: x=2y+105x = \dfrac{2y + 10}{5}.

Practice playmedium

Solve for xx: 7x−3=3x+177x - 3 = 3x + 17.

Subtract 3x3x from both sides: 4x−3=174x - 3 = 17. Add 33 to both sides: 4x=204x = 20. Divide by 44: x=5.x = 5\textsf{.}

Practice playmedium

If −2y=4x+8-2y = 4x + 8, which expression is equal to xx?

Subtract 88 from both sides: −2y−8=4x-2y - 8 = 4x. Divide both sides by 44: x=−2y−84x = \dfrac{-2y - 8}{4}.

Keep practicing

Turn linear equations in one variable into game time.

The MAST placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Source and test overview
All MAST prepOfficial test source
Reporting categories

More Grade 8 domains

Understand and Use Irrational NumbersStudents approximate irrational numbers and solve equations involving square roots and cube roots.8 QsPractice →Exponent Rules and Scientific NotationStudents apply rules of exponents and use scientific notation to solve problems.8 QsPractice →Construct FunctionsStudents construct a function and interpret and analyze function components.8 QsPractice →Proportional Relationships and LinesStudents use slope and equations of a line to solve problems and graph proportional relationships.8 QsPractice →Systems of EquationsStudents solve systems of equations algebraically or from verbal descriptions and estimate solutions from graphs.8 QsPractice →Pythagorean TheoremStudents use the Pythagorean Theorem to find side lengths and distance in the coordinate plane.8 QsPractice →