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Algebraic Expressions and Equations

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Algebraic Expressions and Equations

Translate each phrase, solve each equation, and show your reasoning where space is provided.

Translate Words into Expressions

1.Write an expression for a number, n, increased by 9.

2.Write an expression for four times a number, p, then subtract 6.

3.Which expression means 5 fewer than three times a number, x?

5 - 3x
3x - 5
3(x - 5)
x - 15

4.A skating rink charges $8 to enter and $3 for each skate rental. Write an expression for the total cost, in dollars, for r rentals.

5.Match each phrase to the expression that represents it.

Twice a number, k, plus 11
A number, k, divided by 3
Eight less than a number, k
The sum of 6 and a number, k
Six times a number, k

2k + 11
6k
k + 6
k/3
k - 8

Solve One-Step Equations

6.Solve: a + 7 = 18

7.Solve: 5b = 35

8.Solve: c/4 = 6

9.Solve: d - 9 = 13

10.Solve: 24 = e + 8

11.Solve: f/3 = 9

Apply and Reason

12.Camila has some trading cards. After giving 7 cards to a friend, Camila has 19 left. Write an equation and solve to find the number of cards Camila had at first.

13.A school club sells tickets for $4 each. If it collects $28, how many tickets did it sell? Write an equation and solve.

14.True or false: 3(x + 4) and 3x + 4 are equivalent expressions. Give one value of x that shows whether they are equivalent.