Algebraic Expressions and Fractions

Miss White teaches seventh graders about collecting like terms with rational numbers and solving equations. Lesson six focuses on combining like terms using fractions, while lesson seven involves calculating costs and forming equations. Students practice these concepts through exercises, learning to find common denominators and solve for variables.

What is the first step in rewriting an expression in standard form by collecting like terms?

• Multiply all terms by the same number

• Convert all numbers to decimals

• Find a common denominator for fractions

• Identify the variable in each term

How do you convert a mixed number to an improper fraction?

• Divide the numerator by the denominator

• Add the whole number to the fraction

• Multiply the whole number by the denominator and add the numerator

• Subtract the numerator from the whole number

What is the least common multiple of 3, 4, 6, and 9?

• 24

• 48

• 18

• 36

After finding common denominators, what is the next step in combining like terms?

• Convert to decimals

• Divide the numerators

• Add or subtract the numerators

• Multiply the numerators

How do you convert an improper fraction to a mixed number?

• Subtract the denominator from the numerator

• Divide the numerator by the denominator and use the remainder

• Multiply the numerator by the denominator

• Add the numerator and denominator

In the exercise, what is the first step in predicting the number of terms in an expression?

• Identify like terms

• Add all terms together

• Multiply all terms by the same number

• Convert all terms to decimals

What is the total cost if Sophia buys two songs at 99 cents each and pays a membership fee of $19.99?

• $20.98

• $21.97

• $22.99

• $23.00

If Sophia's friend has $118, how many songs can she buy after paying the membership fee?

• 101 songs

• 98 songs

• 99 songs

• 100 songs

What equation would you use to find how many pounds of apples you can buy with $15 if each pound costs $2?

• n/2 = 15

• 15n = 2

• n + 2 = 15

• 2n = 15

What is the solution to the equation 2n = 15?

• 6

• 7

• 8

• 7.5