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Quizzes > High School Quizzes > Technology

Quiz Chapter 7 Practice Quiz

Test your knowledge and master chapter content

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art themed trivia quiz for 8th-grade math students reviewing algebra concepts.

Solve for x: x + 3 = 8.
x = 5
x = 8
x = 11
x = 3
To solve x + 3 = 8, subtract 3 from both sides to isolate x, giving x = 5. This is a straightforward one-step equation.
Evaluate the expression 2*(3 + 4).
14
16
12
10
Apply the order of operations by first solving the parentheses: 3 + 4 equals 7, then multiplying by 2 gives 14. This ensures proper evaluation of the expression.
Simplify the expression 3x + 2x.
x^2
6x
x
5x
Combine like terms by adding the coefficients of x: 3 + 2 equals 5. Thus, the simplified expression is 5x.
Evaluate the expression 2x + 1 when x = 5.
12
9
11
10
Substitute 5 for x in the expression: 2(5) + 1 equals 10 + 1, which is 11. This direct substitution validates the answer.
In the equation y = 4x + 2, what is the y-intercept?
4
x = 4
x = 2
2
The equation is in slope-intercept form (y = mx + b), where b is the y-intercept. Here, the constant 2 represents the y-intercept.
Solve for x: 2x - 4 = 10.
x = 10
x = 8
x = 7
x = 6
First, add 4 to both sides to obtain 2x = 14. Then, divide by 2 to find x = 7.
Solve for x: 3x + 5 = 2x + 9.
x = 5
x = 4
x = 6
x = 2
Subtract 2x from both sides to get x + 5 = 9, then subtract 5 from both sides resulting in x = 4. This isolates the variable effectively.
Which expression represents the distributive property for 3*(x + 4)?
x + 12
3(x) + 4
3x + 4
3x + 12
The distributive property allows you to multiply 3 by each term inside the parentheses: 3*x = 3x and 3*4 = 12. Hence, the expression simplifies to 3x + 12.
What is the slope of the line represented by the equation y = -2x + 7?
7
2
-7
-2
In the slope-intercept form y = mx + b, m represents the slope. Here, the coefficient of x is -2, which is the slope.
Simplify the expression: 4x - 2x + 7.
2x + 7
6x + 7
2x
4x + 7
Combine like terms by subtracting 2x from 4x to obtain 2x, then add the constant 7. Thus, the simplified expression is 2x + 7.
Solve for y in terms of x: 3y = 9 + 6x.
y = x + 3
y = 3x + 6
y = 6x + 9
y = 2x + 3
Divide both sides of the equation by 3 to isolate y: y = (9 + 6x)/3, which simplifies to y = 3 + 2x. Rearranging gives y = 2x + 3.
Solve for x: 0.5x + 3 = 8.
x = 5
x = 10
x = 8
x = 16
Subtract 3 from both sides to get 0.5x = 5, then divide by 0.5 to solve for x, resulting in x = 10.
If y increases by 2 when x increases by 1, what is the slope of the line?
2
0.5
-2
1
The slope is calculated as the change in y divided by the change in x (rise over run). Here, the change in y is 2 and the change in x is 1, resulting in a slope of 2.
Simplify the expression: 2(3x + 4) - x.
5x + 4
6x + 8
5x + 8
7x + 8
Distribute 2 to get 6x + 8, then subtract x to combine like terms, resulting in 5x + 8. This shows proper use of distribution and combining like terms.
Write an algebraic expression for: 'Seven more than three times a number x.'
7 + x
3x + 7
x + 7
7x + 3
The phrase 'three times a number' translates to 3x, and 'seven more than' indicates adding 7. Thus, the correct expression is 3x + 7.
Solve for x: 3(x - 2) = 2x + 4.
x = 12
x = 8
x = -10
x = 10
First, expand the left side to get 3x - 6. Then, subtract 2x from both sides to obtain x - 6 = 4 and add 6 to solve for x, yielding x = 10.
Solve for x: (x/2) + 3 = (3x/4) - 1.
x = 8
x = 20
x = 16
x = 4
Multiply every term by 4 to eliminate fractions, resulting in 2x + 12 = 3x - 4. Subtracting 2x from both sides gives 12 = x - 4, and adding 4 leads to x = 16.
Which of the following expressions is equivalent to 4 - 2(3 - x)?
-2x + 2
2x + 2
6 - 2x
2x - 2
Distribute -2 to get -6 + 2x and then add 4, resulting in 2x - 2. This shows proper use of distribution and combination of constant terms.
A line passes through the points (2, 5) and (6, 13). What is its slope?
4
-2
8
2
The slope is determined by the change in y divided by the change in x: (13 - 5) / (6 - 2) equals 8/4, which simplifies to 2. This calculation confirms the correct slope.
Solve for x: 5x - 3(2 - x) = 2(4x + 1).
x = 0
x = -1
No solution
x = 1
Expand the equation: 5x - 6 + 3x becomes 8x - 6, and the right side expands to 8x + 2. Subtracting 8x from both sides leaves -6 = 2, which is impossible. Therefore, there is no solution.
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Study Outcomes

  1. Understand and simplify algebraic expressions.
  2. Solve linear equations accurately.
  3. Analyze algebraic problem-solving strategies.
  4. Apply properties of operations to manipulate variables.
  5. Evaluate solutions to determine areas for improvement.

Quiz Chapter 7: Practice Test Cheat Sheet

  1. Master algebraic identities - Dive into identities like (a + b)² = a² + 2ab + b² to simplify complex expressions in a snap and boost your equation-solving speed. Make these patterns your best friends and watch your confidence soar! Byju's Algebra Formulas Cheat Sheet
  2. Understand laws of exponents - Get comfy with rules such as a❰ = 1 and a❻❿ = 1/a❿ so you can tackle powers without breaking a sweat. These exponent tricks are essential shortcuts for simplifying large expressions. Cuemath Exponent Rules
  3. Solve linear equations - Use properties of equality (if a = b, then a + c = b + c) to isolate variables and find solutions faster. Practicing a variety of examples will sharpen your logical thinking and algebraic fluency. OpenStax Linear Equations Guide
  4. Practice factoring techniques - From grouping to difference of squares, factoring breaks down polynomials into bite‑size pieces. For example, ax + bx + ay + by = (a + b)(x + y) shows how grouping makes complex expressions manageable. Quizlet Factoring Flashcards
  5. Learn geometric formulas - Memorize area and perimeter formulas for shapes like squares, rectangles, and triangles so you can compute space and distance with ease. Knowing that area = length × width is just the start of your shape‑solving superpowers! Quizlet Geometry Formulas
  6. Grasp the concept of functions - A function gives exactly one output for each input, so test relations to see which pass the "vertical line test." Understanding functions is key to mapping inputs to outputs in real-world problems. Education.com Functions Handouts
  7. Solve systems of equations - Compare methods like graphing, substitution, and elimination to find where two lines cross. Each approach gives a fresh perspective, helping you choose the fastest path to the intersection point. Education.com Systems of Equations Guide
  8. Tackle quadratic equations - Factor expressions such as x² + bx + c into (x + m)(x + p), where m + p = b and m·p = c, to find solutions quickly. By practicing different quadratics, you'll build a reliable toolkit for any quadratic challenge. Quizlet Quadratic Study Set
  9. Master inequalities - Know that multiplying or dividing both sides by a negative flips the inequality sign, and practice solving to reveal solution intervals. These rules keep your solutions accurate and your reasoning rock-solid. OpenStax Inequalities Guide
  10. Graph linear functions - Use the slope‑intercept form y = mx + b, where m is the slope and b is the y‑intercept, to sketch straight lines in seconds. Visualizing functions this way makes spotting trends and intercepts a breeze! Education.com Graphing Linear Functions
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