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Quizzes > High School Quizzes > English Language Arts

M-STEP Practice Quiz for Success

Ace your exam with targeted practice tests

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art representing a middle school math practice quiz, M-Step Mastery.

What is the value of 7 + 5?
14
13
11
12
This is a straightforward addition problem. Adding 7 and 5 gives 12.
Solve for x: x - 4 = 3.
7
4
3
-1
By adding 4 to both sides of the equation, x is isolated and equals 7. This is a basic linear equation.
What is the simplified form of the fraction 8/12?
1/2
4/6
2/3
3/4
Both the numerator and denominator can be divided by 4. This simplifies 8/12 to 2/3.
What is the perimeter of a rectangle with length 5 and width 3?
15
8
16
10
The perimeter of a rectangle is calculated as 2*(length + width). Thus, 2*(5+3) equals 16.
If 50% of a number is 20, what is the number?
20
30
10
40
Since 50% represents one half, doubling 20 gives the full value of 40. This demonstrates percentage conversion to a total.
Solve for x: 2x + 3 = x + 7.
4
6
5
2
Subtracting x from both sides yields x + 3 = 7, and then subtracting 3 isolates x, giving x = 4.
If 3 pencils cost $1.50, how much do 8 pencils cost at the same rate?
$4.00
$5.00
$4.50
$3.50
The cost per pencil is $1.50 divided by 3, which is $0.50. Multiplying $0.50 by 8 results in a total of $4.00.
A bag contains 4 red, 5 blue, and 6 green marbles. What is the probability of drawing a blue marble at random?
2/5
1/3
1/2
1/5
There are 5 blue marbles out of a total of 15 marbles (4+5+6). The probability is therefore 5/15, which simplifies to 1/3.
Evaluate 3(2x - 4) when x = 5.
20
18
15
16
Substituting x with 5, the expression becomes 3(10 - 4) which simplifies to 3*6 = 18. This demonstrates proper substitution and multiplication.
What is the value of 5 + 2 * 3?
11
16
13
21
According to the order of operations, multiplication is performed before addition. Thus, 2*3=6 and then 5+6 gives 11.
What is the slope of the line passing through the points (2, 3) and (5, 11)?
8/3
3
8
3/8
The slope is calculated with the formula (y2 - y1)/(x2 - x1). Substituting the given values yields (11-3)/(5-2)=8/3.
Simplify: (3/4) ÷ (1/2).
4/3
3/2
5/4
1/2
Dividing by a fraction is equivalent to multiplying by its reciprocal. Thus, (3/4) ÷ (1/2) becomes (3/4) * (2/1) = 6/4, which simplifies to 3/2.
Solve for x: 4x - 5 = 11.
5
3
4
6
Adding 5 to both sides gives 4x = 16, and dividing by 4 results in x = 4. This is a standard two-step equation.
If the ratio of boys to girls in a class is 3:4 and there are 21 boys, how many girls are there?
32
28
24
21
A ratio of 3:4 means that for every 3 boys there are 4 girls. If 3 parts correspond to 21 boys, one part equals 7; thus, 4 parts equal 28 girls.
What is 25% of 200?
100
75
50
25
Since 25% is equivalent to one-fourth, dividing 200 by 4 results in 50.
Solve for x: 3(x - 2) = 2(2x + 1) - x.
No solution
x = 4
x = -4
x = 0
Expanding both sides gives 3x - 6 and 3x + 2. Subtracting 3x from both sides results in -6 = 2, which is impossible, indicating there is no solution.
The length of a rectangle is 3 times its width. If the perimeter is 64, what is the width?
12
8
16
10
Letting the width be w and the length be 3w, the perimeter is 2(w + 3w) = 8w. Setting 8w equal to 64 gives w = 8.
Solve for x: |2x - 6| = 4.
x = 3
x = 2
x = 0 or 4
x = 1 or 5
The absolute value equation splits into two cases: 2x - 6 = 4 and 2x - 6 = -4, which solve to x = 5 and x = 1 respectively.
A notebook costs $1 more than twice the price of a pen. If 4 notebooks and 5 pens cost $95, what is the cost of one notebook?
17
14
15
13
Let the price of a pen be p, then the notebook costs 2p + 1. The equation is 4(2p + 1) + 5p = 95, which simplifies to 13p + 4 = 95. Solving this gives p = 7 and the notebook costs 15.
Simplify the expression: (2^3 * 2^-5) / 2^-2.
0
1/2
2
1
Using the rules of exponents, 2^3 * 2^-5 equals 2^-2. Dividing by 2^-2 gives 2^( -2 - (-2) ) = 2^0, which equals 1.
0
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Study Outcomes

  1. Analyze algebraic expressions and solve equations using middle school math principles.
  2. Interpret geometric figures to determine properties such as angles, area, and perimeter.
  3. Simplify fractions, ratios, and decimals to solve numerical problems effectively.
  4. Apply problem-solving strategies to tackle multi-step mathematical challenges.
  5. Evaluate data from graphs and charts to draw valid mathematical conclusions.

M Step Practice Cheat Sheet

  1. Master the Pythagorean Theorem - Imagine you're a geometry wizard uncovering secret side lengths! In any right triangle, the square of the hypotenuse always equals the sum of the squares of the other two sides. Use this trusty formula to tackle all kinds of triangle puzzles with confidence. Grade 8 Math Glossary - Teacher Edition
  2. Understand the Laws of Exponents - Powers don't have to be puzzling - once you learn these rules, you can simplify huge expressions in a snap. Remember that when you multiply like bases, you add exponents, and when you raise a power to a power, you multiply exponents. Mastering these shortcuts will save you tons of time on tests and homework. Maths Formulas for Class 8 | CBSE Class 8 Maths Formulas
  3. Grasp the Concept of Rational Numbers - Rational numbers are the friendly fractions and decimals that never leave you hanging - every one of them can be written as a fraction with a nonzero denominator. From whole numbers to repeating decimals, they all play by the same rules. Understanding them unlocks smoother arithmetic and clearer number sense. Maths Formulas for Class 8 | CBSE Class 8 Maths Formulas
  4. Learn About Linear Equations - Straight lines, meet your match! Any equation in the form ax + b = 0 describes a line on the coordinate plane, and solving for x reveals where that line hits the x-axis. Isolating the variable is like peeling layers off an onion - once you've got it down, no linear problem can stump you. Grade 8 Math Worksheets - Math Goodies
  5. Explore Functions and Their Graphs - Think of functions as machines: you feed in x-values and out pop y-values in perfect order. Plotting these pairs on a graph reveals the function's personality - whether it's rising, falling, or bouncing around. This visual insight helps you spot patterns and predict behavior like a math detective. Grade 8 Math Worksheets - Math Goodies
  6. Delve into Geometry - Shapes, angles, and theorems are your playground! From triangles to circles, understanding properties and relationships helps you solve spatial puzzles with flair. The Pythagorean Theorem, angle sums, and congruence rules are your VIP passes to ace any geometry challenge. Grade 8 Math Worksheets - Math Goodies
  7. Understand Probability and Statistics - Roll the dice, flip a coin, or draw a card - this topic turns everyday events into captivating math experiments. Learn to calculate the likelihood of outcomes and analyze data sets to draw meaningful conclusions. These skills help you make smart predictions and back up your arguments with numbers. Grade 8 Math Worksheets - Math Goodies
  8. Study the Properties of Real Numbers - Meet your new best friends: the commutative, associative, and distributive properties. They let you rearrange and group terms like a boss, making complex expressions feel as easy as stacking blocks. Harness these rules to simplify calculations and breeze through algebra. Maths Formulas for Class 8 | CBSE Class 8 Maths Formulas
  9. Practice Solving Systems of Equations - When two lines cross, the treasure lies at their intersection! Use substitution or elimination methods to pinpoint the exact pair (x, y) that satisfies both equations. Cracking these systems is like solving a thrilling mystery - each step brings you closer to the solution. Grade 8 Math Worksheets - Math Goodies
  10. Review Transformations in Geometry - Spin, slide, and stretch shapes like a pro! Translations move figures, rotations spin them, reflections flip them, and dilations resize them. Understanding these moves equips you to tackle coordinate geometry with creativity and precision. Grade 8 Math Glossary - Family Edition
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