Pre-algebra Practice Quizzes

Order of Operations

The order of operations used in mathematics:
- exponents and roots
- multiplication and division
Order of operations practice

Variable Expressions Practice

A variable is a letter that represents an unspecified number. Substitute a number for each variable and perform the arithmetic operations in order to evaluate the expression.
For instance, to evaluate the expression x2 + 2x - 3y for x = 1 and y = 2, calculate the expression by substituting the given x and y:
x2 + 2x - 3y = 12 + 2×1 - 3×2 = 1 + 2 - 6 = -3.
Variable expressions practice

Simplifying Expressions Practice

Simplify the expressions in our practice quiz by:
- using the correct order of operations,
- using the distributive and the commutative properties if necessary,
- combining like terms.
Simplifying expressions practice

One Step Linear Equations Practice

A one-step equation is an algebraic equation you can solve in only one step.
Most linear equations have one solution, but some equations can have no solutions or an infinity of solutions (e.g. all real numbers are solutions).
One step linear equations practice

Multi-Step Linear Equations Practice

- Simplify the expressions on each side of the equation, if necessary,
- Get all variable terms on one side and all numbers on the other side,
- Isolate the variable term to find the solution of the equation,
- Check your solution by substituting the value of the variable in the original equation.
Multi-step linear equations practice

Linear Equations with Rational Numbers Practice

In order to solve rational equations, rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.
Another way of solving rational equations is to multiply both sides of the equation by the common denominator, to eliminate the denominators. This turns the rational equation into a polynomial equation.
Linear equations with rational numbers practice

Other Equations Practice

Linear equations can have one solution, zero solutions or infinitely many solutions.
The following quiz focuses on equations with zero solutions or infinitely many solutions.
Other equations practice

Applications of Expressions and Equations Practice

- Identify key words and phrases and translate sentences to mathematical equations.
- Solve equations involving relationships between numbers.
- Solve word problems involving perimeter of geometric figures.
Applications of expressions and equations practice

Greatest Common Factor Practice

The GCF of two numbers is the greatest number that is a factor of both of the numbers. Find the GCF of two numbers by following the steps below:
- List the prime factors of each number.
- Multiply the factors that both numbers have in common.
- If there are no common prime factors, the GCF is 1.
Greatest common factor practice

Least Common Multiple Practice

The Least Common Multiple of two integers a and b, is the smallest integer that is evenly divisible by both a and b.
Find the LCM of two numbers by following the steps below:
- Break down the prime factors of each number.
- Choose the common factors.
- Multiply the chosen factors.
Least common multiple practice

Multi-Step Inequalities Practice

A popular strategy for solving equations, isolating the variable, also applies to solving inequalities.
By adding, subtracting, multiplying and dividing, the inequality can be rewritten so that the variable is isolated on one side. The solutions to multi-step inequalities can be graphed on a number line.
Multi-Step inequalities practice

The Cartesian Coordinate Plane Practice

The following practice quiz has the following type of problems:
- find the point of intersection of two lines, given the equations of the lines,
- find the slope, x-intercept an y-intercept of a line,
- find the equation of a line that passes through two points.
The coordinate plane practice