Mastering Algebra 1 Concepts

What is the first step in simplifying an expression by combining like terms?

• Multiply each term by its exponent

• Subtract the constants from each other

• Divide each term by its coefficient

• Identify and group like terms

What is the result of simplifying the expression 2x^4 - 3x^4?

• 5x^4

• -x^4

• 5x^8

• -x^8

When solving equations with variables on both sides, what should you do first?

• Combine like terms

• Add the constants to both sides

• Divide both sides by the coefficient of the variable

• Move the variables to one side

What is the final step in solving an equation after isolating the variable?

• Multiply both sides by the variable

• Subtract the variable from both sides

• Divide both sides by the coefficient of the variable

• Add the variable to both sides

In cross multiplication with ratios and proportions, what do you do after cross multiplying?

• Add the results

• Divide one side by the other

• Solve the resulting equation

• Multiply the results by the denominator

When evaluating an expression using given values, what is the first step?

• Add all the given values together

• Multiply the values by the coefficients

• Substitute the values into the expression

• Divide the expression by the number of variables

What is the purpose of using factor trees in simplifying radicals?

• To find the prime factorization of the number under the radical

• To multiply all factors under the radical

• To divide the radical by its prime factors

• To add all numbers under the radical

How do you simplify an expression with a square root of 75?

• 5 square roots of 3

• 25 square roots of 3

• 3 square roots of 5

• 75 square roots of 1

What do you get when you simplify the square root of 48?

• 4 square roots of 3

• 6 square roots of 8

• 48 square roots of 1

• 3 square roots of 16

Why is algebra important in geometry?

• To memorize formulas

• To draw geometric shapes

• To calculate area and volume only

• To solve equations daily