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Quizzes > High School Quizzes > English Language Arts

Ace the M-Step Practice Test

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

What is 15 + 27?
43
41
42
40
By adding 15 and 27, we get 42. Basic addition is the key concept here.
Simplify the fraction 6/8.
5/8
2/3
1/2
3/4
Both the numerator and the denominator can be divided by 2, simplifying 6/8 to 3/4.
What is the decimal equivalent of 1/2?
0.2
0.75
0.5
0.25
Dividing 1 by 2 yields 0.5, which is the decimal representation of 1/2.
What is the perimeter of a square with side length 5 units?
20
10
25
15
The perimeter of a square is 4 times the side length, so 4 Ã - 5 equals 20 units.
Solve for x: 2x = 10.
10
2
8
5
Dividing both sides of the equation 2x = 10 by 2 yields x = 5.
Solve: 3(x - 2) = 9.
9
3
5
7
Using the distributive property, 3(x - 2) becomes 3x - 6. Adding 6 to both sides gives 3x = 15, so x = 5.
Which expression is equivalent to 4x + 5x?
4x
5x
20x
9x
Combining like terms, 4x + 5x equals 9x.
Find the least common multiple (LCM) of 4 and 6.
12
10
24
18
The multiples of 4 are 4, 8, 12, ... and of 6 are 6, 12, ...; the first common multiple is 12.
If a recipe requires 3/4 cup of sugar and you want to make half the recipe, how much sugar is needed?
3/8
1/4
3/4
1/2
Multiplying 3/4 by 1/2 gives 3/8, which is the required amount of sugar for half the recipe.
What is the mean of the numbers 4, 8, 12, and 16?
14
12
8
10
The sum of the numbers is 40, and dividing by 4 yields a mean of 10.
Solve for y in the equation: 5y + 3 = 23.
5
3
4
6
Subtracting 3 from both sides gives 5y = 20, and dividing by 5 results in y = 4.
Which fraction is equivalent to the decimal 0.75?
3/4
1/2
4/5
2/3
The decimal 0.75 equals 75/100, which simplifies to 3/4.
What is the area of a rectangle with a length of 8 units and a width of 3 units?
24
11
32
16
Area is calculated by multiplying the length by the width: 8 Ã - 3 equals 24.
What is the value of 2^3?
6
9
8
10
2 raised to the power of 3 is 2 Ã - 2 Ã - 2, which equals 8.
What is the slope of the line passing through the points (0, 3) and (4, 11)?
4
3
1/2
2
The slope is calculated as (11 - 3) / (4 - 0), which simplifies to 2.
Solve the system of equations: 2x + y = 10 and x - y = 1.
x = 11/3, y = 8/3
x = 5, y = 0
x = 3, y = 4
x = 4, y = 3
Using the substitution method by expressing x as y + 1 from the second equation and substituting into the first leads to y = 8/3 and x = 11/3.
The ratio of the measures of the angles in a triangle is 2:3:4. What is the measure of the largest angle?
80°
120°
100°
90°
The sum of the ratios is 9, so each part corresponds to 20° (since 180°/9 = 20°). The largest angle, with a ratio part of 4, measures 80°.
A store offers a 20% discount on a $50 shirt and then applies a 5% sales tax on the discounted price. What is the final price?
$42
$38
$40
$43
A 20% discount on $50 reduces the price by $10 to $40. Adding a 5% tax on $40 (which is $2) results in a final price of $42.
Solve for x in the equation: (x/2) - (x/3) = 5.
30
15
10
25
Finding a common denominator leads to (3x - 2x)/6 = x/6 = 5, so multiplying both sides by 6 gives x = 30.
A rectangle's length is twice its width and its area is 50 square units. What are the dimensions of the rectangle?
Width = 10, Length = 5
Width = 2, Length = 25
Width = 5, Length = 15
Width = 5, Length = 10
Let the width be w; then the length is 2w. Since area = 2w² = 50, solving gives w = 5 and thus the length is 10.
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Study Outcomes

  1. Understand fundamental middle school math concepts.
  2. Analyze problems similar to those on standardized M-Step exams.
  3. Apply problem-solving strategies to a variety of math questions.
  4. Evaluate personal progress to build confidence for upcoming tests.
  5. Interpret data and word problems using critical thinking skills.

M-Step Practice Test PDF Cheat Sheet

  1. Master the order of operations (PEMDAS) - Think of PEMDAS as your secret code for decoding tricky expressions: start with Parentheses, then Exponents, tackle Multiplication and Division (left to right), and finish with Addition and Subtraction. Practicing this sequence will help you breeze through complex problems without breaking a sweat. Practice problems here
  2. Understand linear equations and inequalities - Learn how to juggle variables on both sides of the equals sign and solve for the mystery number hiding in your equation. Once you've got the hang of balancing, you can conquer anything from simple equations to real-world inequality puzzles. Practice problems here
  3. Familiarize yourself with exponents and scientific notation - Power up your skills by mastering the rules of exponents and shrinking or growing numbers with scientific notation. This superpower helps you handle super big or super tiny values without writing a million zeros. Practice problems here
  4. Practice operations with fractions and mixed numbers - Slice, dice, multiply, and divide fractions (and mixed numbers) like a kitchen pro chopping vegetables. Strong fraction skills mean you'll never get stuck on pizza-slicing or recipe-adjustment questions again! Practice problems here
  5. Calculate area and perimeter of 2D figures - From rectangles and triangles to circles, knowing how to find area and perimeter is like having a geometric measuring tape in your brain. This lets you solve everything from fence-building to garden-plot planning in a snap. Practice problems here
  6. Understand volume and surface area of 3D shapes - Dive into cylinders, cones, and spheres to figure out how much space they occupy and how much wrapping paper you'd need to cover them. These skills pop up everywhere, from packing boxes to designing 3D-printed gadgets! Practice problems here
  7. Develop graph interpretation and creation skills - Line plots, histograms, bar charts - oh my! Learning to read and draw these visuals turns raw data into clear stories you can analyze and share. It's like giving numbers a voice! Practice problems here
  8. Grasp the fundamentals of probability - Flip coins, roll dice, or draw cards to explore the chance of single and compound events. These basics help you make smarter predictions, whether you're guessing the weather or playing games. Practice problems here
  9. Explore functions and their representations - Functions are like math machines: you feed in an input and get an output. Learn to represent them with tables, graphs, and equations to reveal hidden relationships between variables. Practice problems here
  10. Review the Pythagorean theorem - a² + b² = c² is your ticket to finding side lengths in right triangles. Use it to solve real-life puzzles like ladder placement or designing ramps with just a ruler and your brainpower. Practice problems here
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