Algebra Quiz: Writing Basic Expressions Word Problems!

1. Three times Cassie's age increased by nine is twelve.

3x+12 - 9

3x + 9=12

3x + 12 = 9

3x + 5

The equation 3x + 9 = 12 represents the statement "Three times Cassie's age increased by nine is twelve." This equation is formed by multiplying Cassie's age (represented by x) by three and adding nine to it, resulting in twelve.

Explanation

The equation 3x + 9 = 12 represents the statement "Three times Cassie's age increased by nine is twelve." This equation is formed by multiplying Cassie's age (represented by x) by three and adding nine to it, resulting in twelve.

2. John sells watermelons (w) for $4 and tangerines (t) for $1. Use the expression 4w + t, find the price for a customer purchasing five tangerines and two watermelons.

$13

$12

$11

$10

substitute 4 in for w and 5 in for t.

Explanation

substitute 4 in for w and 5 in for t.

3. Four times the sum of nine and a number

4(9 + n)

4 x 9 + n

4 + n + 9

4n + 9

The sum means to add. You want to add the two numbers AND then multiply it by four.

Explanation

The sum means to add. You want to add the two numbers AND then multiply it by four.

4. The Smith family went to the movies. Adult tickets are $10, kids are $7, and senior citizens are $5. If the Smith family took two adults, 1 senior citizen and three kids, use an expression to show their amount spent.

$10(4) + $5(1) + $7

$10(2) + $7(3) + $5

$10(2) x $7(3) x $5

$10(2) + $7(3)

The expression $10(2) + $7(3) + $5 represents the amount spent by the Smith family at the movies. The $10(2) represents the cost of two adult tickets, the $7(3) represents the cost of three kids' tickets, and the $5 represents the cost of one senior citizen ticket. By multiplying the number of tickets by their respective prices and adding them together, we get the total amount spent.

Explanation

The expression $10(2) + $7(3) + $5 represents the amount spent by the Smith family at the movies. The $10(2) represents the cost of two adult tickets, the $7(3) represents the cost of three kids' tickets, and the $5 represents the cost of one senior citizen ticket. By multiplying the number of tickets by their respective prices and adding them together, we get the total amount spent.

5. Joan's cellphone company charges her $30 a month and $0.10 for each text she sends. Write an expression to show Joan's cell phone bill.

$30 = $0.10t

$0.10 - $30 - t

$30 + $.10 + t

$30 + $0.10t

The expression $30 + $0.10t represents Joan's cell phone bill. The $30 represents the fixed monthly charge, and the $0.10t represents the additional charge for each text she sends, where t is the number of texts. By adding these two amounts together, we get the total bill.

Explanation

The expression $30 + $0.10t represents Joan's cell phone bill. The $30 represents the fixed monthly charge, and the $0.10t represents the additional charge for each text she sends, where t is the number of texts. By adding these two amounts together, we get the total bill.