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Quizzes > High School Quizzes > Mathematics

Texas Algebra EOC Practice Quiz

Boost your score with engaging review tests

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Colorful paper art promoting Texas Algebra Challenge trivia quiz for high school students.

Simplify the expression: 3x + 2x.
5
6x
5x
x
Combining like terms, 3x + 2x equals 5x because you add the coefficients of x. This is a fundamental example of simplifying algebraic expressions.
Solve for x in the equation: x + 5 = 9.
9
4
5
14
Subtracting 5 from both sides gives x = 4. This is a simple one-step linear equation.
Expand the expression: 2(x + 4).
2x + 2
2x + 4
x + 8
2x + 8
Using the distributive property, multiply 2 by each term in the parentheses to get 2x + 8. This method is a basic property used in algebra.
Evaluate the expression 2x - 1 for x = 3.
4
7
6
5
Substituting x = 3 yields 2(3) - 1, which equals 6 - 1 = 5. This problem demonstrates direct substitution into a linear expression.
Combine like terms: 5y - 2y.
3y
2y
7y
y
Subtracting the coefficients (5 - 2) results in 3, so the simplified expression is 3y. This is a basic example of combining like terms in algebra.
Solve for x: 3x - 5 = 10.
5
15
10
3
Add 5 to both sides to obtain 3x = 15, then divide by 3 to find x = 5. This problem tests basic equation solving skills.
Solve for x: 2x + 3 = x + 7.
3
7
5
4
Subtract x from both sides to get x + 3 = 7, then subtract 3 to obtain x = 4. This equation reinforces balancing terms on both sides.
Solve the inequality: 3x - 4 < 8.
x > 4
x < 4
x ≥ 4
x ≤ 4
Add 4 to both sides to get 3x < 12 and then divide by 3 to find x < 4. This problem introduces solving basic inequalities.
Simplify the expression: 4(x + 2) - 3(x - 1).
x + 5
x + 11
7x + 5
7x + 11
Distribute to obtain 4x + 8 and -3x + 3, which simplifies to x + 11 after combining like terms. This problem tests both distribution and combination skills.
Identify the slope of the line represented by the equation: y = 2x - 5.
2x
-5
2
-2
In the slope-intercept form y = mx + b, the coefficient m is the slope. Here, the slope is 2, reflecting the rate of change of the line.
Find the equation of a line in slope-intercept form with a slope of 3 passing through the point (1, 2).
y = 3x + 1
y = 3x - 1
y = 2x + 3
y = 3x - 2
Using the point-slope form, substitute the given point and slope to form the equation y - 2 = 3(x - 1), which simplifies to y = 3x - 1. This conversion tests knowledge of linear equations.
Solve for x: (x/3) + 2 = 5.
3
7
9
5
Subtract 2 from both sides to obtain x/3 = 3, then multiply by 3 to get x = 9. This problem emphasizes solving equations that include fractions.
Factor the expression: 6x + 9.
6(x + 1.5)
3(2x - 3)
2(3x + 4.5)
3(2x + 3)
Both terms in the expression share a common factor of 3, so factoring it out gives 3(2x + 3). This process is known as factoring by extracting the greatest common factor.
Simplify the expression: 2x^2 * 3x.
6x^3
6x^2
5x^2
5x^3
Multiply the coefficients (2*3 = 6) and add the exponents for x (2+1 = 3) to obtain 6x^3. This problem reinforces the rules for multiplying powers.
Solve for x: 2(x - 3) = x + 1.
8
4
5
7
Distribute 2 on the left side to get 2x - 6 = x + 1, then isolate x by subtracting x and adding 6, which yields x = 7. This method demonstrates solving a two-step linear equation.
Solve for x: 3(x - 2) + 4 = 2(2x + 1).
x = -2
x = 4
x = -4
x = 2
Distribute to get 3x - 6 + 4 = 4x + 2, which simplifies to 3x - 2 = 4x + 2. Solving for x gives x = -4, demonstrating multi-step equation solving.
What is the sum of the solutions to the quadratic equation x² + 5x + 6 = 0?
5
6
-5
-6
Factoring the quadratic yields (x + 2)(x + 3) = 0, so the solutions are x = -2 and x = -3. The sum of the solutions is -2 + (-3) = -5, which matches the answer derived from the formula -b/a.
Solve the system of equations: x + y = 6 and x - y = 2. What is the value of x?
8
6
2
4
Adding the two equations eliminates y, yielding 2x = 8, so x = 4. This demonstrates the elimination method for solving systems of equations.
Solve for x: (x/2) - 3 = (x - 4)/4.
4
6
8
10
Multiply both sides by 4 to eliminate fractions, resulting in 2x - 12 = x - 4. Solving the simplified equation gives x = 8, illustrating the effectiveness of clearing fractions.
A number is quadrupled and then 9 is added to yield 33. What is the number?
7
6
5
8
Set up the equation 4x + 9 = 33. Subtracting 9 from 33 gives 4x = 24, and dividing by 4 yields x = 6, representing the correct solution to this word problem.
0
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Study Outcomes

  1. Analyze and solve algebraic equations and inequalities.
  2. Simplify and factor algebraic expressions effectively.
  3. Apply properties of exponents and radicals in problem-solving.
  4. Interpret and graph linear relationships and functions.
  5. Develop strategies to model real-world scenarios using algebra.
  6. Evaluate personal understanding to identify areas for improvement.

Algebra EOC Texas Practice Cheat Sheet

  1. Master the Order of Operations - Tackle expressions like a boss by following PEMDAS: Parentheses first, then Exponents, next Multiplication and Division (left to right), and finally Addition and Subtraction (left to right). This order keeps your math on track and your results spot‑on. For example, in 3 + 6 × (5 + 4) ÷ 3 - 7, you'll breeze through by tackling each step in order. OpenStax Algebra Key Concepts
  2. Understand Properties of Exponents - Simplify power expressions like a wizard by mastering exponent rules: when you multiply like bases, you simply add exponents (x❴ × x³ = x❷), and when you divide, you subtract them. This nifty trick turns complex power puzzles into quick victories. Play around with negative and zero exponents to see how they transform your answers! Coconote Exponent Rules
  3. Practice Solving Linear Equations & Inequalities - Keep both sides of the equation happy by doing the same operation to each side: add, subtract, multiply, or divide. For example, solving 2x - 3 = 7 is as easy as adding 3 to both sides and dividing by 2 to discover x = 5. Inequalities work the same way, but watch out when you multiply or divide by a negative! StudyLib Algebra I EOC Guide
  4. Learn to Graph Linear Functions - Turn equations into pictures by plotting y = mx + b: start at the y‑intercept (b) on the vertical axis, then use the slope (m) as your "rise over run" to chart your next point. Connect the dots to reveal a straight line and instantly see how changes to m and b reshape your graph. It's geometry meets artistry! EOC Videos: Graphing Lines
  5. Familiarize Yourself with Quadratic Functions - Parabolas are the superheroes of algebra! In standard form y = ax² + bx + c, "a" decides if you wave upward (a > 0) or dive downward (a < 0). Identify the vertex, axis of symmetry, and intercepts to fully sketch your curve - bonus points for spotting the maximum or minimum point! EOC Videos: Quadratic Graphs
  6. Understand the Distributive Property - Break down expressions like a pro: a(b + c) = ab + ac. This property is your secret weapon for expanding brackets, simplifying messy terms, and solving equations in fewer steps. Use it to unlock factoring challenges and conquer multi‑term expressions with ease! OpenStax Distributive Property
  7. Practice Factoring Polynomials - Transform quadratics into products of binomials to reveal solutions quickly: x² + 5x + 6 neatly factors into (x + 2)(x + 3). Then set each factor to zero (x + 2 = 0 or x + 3 = 0) to find x = -2 or x = -3. Think of it as algebraic detective work! StudyLib Polynomials & Factoring
  8. Memorize the Slope‑Intercept Form - y = mx + b is your graphing BFF: "m" is slope, "b" is the y‑intercept. Change m to steepen or flatten your line, tweak b to shift it up or down, and voila - you can sketch any linear relation in seconds. This form turns equations into art! EOC Videos: Slope”Intercept
  9. Crack Systems of Equations - Solve two or more equations at once using substitution or elimination: plug one equation into another or add/subtract to cancel variables. For y = 2x + 3 and y = -x + 1, set them equal (2x + 3 = -x + 1), solve for x, then back‑substitute to find y - the point of intersection! EOC Videos: Systems Strategies
  10. Review Properties of Real Numbers - Keep these fundamentals at your fingertips: commutative (a + b = b + a), associative ((a + b) + c = a + (b + c)), and distributive (a(b + c) = ab + ac). These rules govern every algebraic move and help you simplify expressions, rearrange terms, and solve equations with confidence. OpenStax Number Properties
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