Word Sentences and Equations

Which of the following problems can be solved by using the equation

x + 5 = 24

• Claire had 24 dolls in her collection. She added five more to it. How many dolls does she now have in her collection?

• Lindsey has 5 times as many crayons as her sister. Her sister has 24 crayons. How many crayons does Lindsey have?

• Jameson earned $5 in tips on Monday delivering packages. For the rest of the week earned $24 in tips. How much did James earn in tips for the entire week?

• Melissa received a gift of of 5 magazines to add to her collection. The brought the total number of magazines to 24. How many did she have before she received her gift?

Which problem situation best matches the equation below?

x/4 = 24

• The room Jean plans to use for her party has 24 tables. She wants to seat 4 guests at each table. What is x, the total number who can be seated at the tables?

• Lena has a total of 24 photos. She want to attach 4 photographs to each page of an album. What is x, the number of pages she will need for the photo album

• Mike has a total of 24 comic books. He plans to sell them to a friend. What is x, the number of comic books Mike will have left?

• Kim has 24 toy cars in her collection. She want to buy 4 more. If Kim buys the 4 cars, what is x, the number of toy cars she will have in her collection?

Which equation matches this phrase:

n divided by four is ten

• 10n = 4

• n/4 = 10

• 10 + x = 4

• n - 4 = 10

Write an equation for the given situation. The total number of piano lessons (p) minus the 3 completed lessons equals 15.

• 15 - p = 3

• 3 + 15 = p

• 3 - p = 15

• p - 3 = 15

Write an equation for the following phrase:

The product of four and a number is twelve.

• 12x = 4

• 4x = 12

• 4(12) = x

• 4 + x = 12

Write an equation for the following phrase:

120 students divided into g equal groups is 20 students per group

• 120/g = 20

• g/120 = 20

• g/20 = 120

• g + 20 = 120

How would you say the following equation?

h + 3 = 9

• 9 is the same as h and 9

• h plus 3 feet is the same as 9

• three less than h is 9

• h is 9 and 3

Tammy made a deposit of d dollars in to her back account. Her old balance was $100, and her new balance is $280.

• d-100=280
• 280-d=100
• 100+d=280
• 280+d=100

The goal of solving linear equations is to: (Pick 2)

• Move the constant

• Find the value of the variable that makes the statement true

• Find the coefficient

• Combine like terms

• Get the Variable BY ITSELF!

What are the TWO basic rules for solving algebraic equations? (That means pick 2 answers)

• What you do on one side you must do to the other (keep balanced)

• Negative signs can be ignored

• Always use the opposite/inverse operations to solve

• You must start on the left side of the equation