Expression Vocabulary
In the expression 5x + 8, what is the variable?
The variable is "x"
Simplify the expression 3x + 4x.
7x
Simplify 3(x+4).
3x + 12
A student simplifies 3(x + 4) and gets 3x + 12. Describe his mistake.
The student should have multiplied 3 by 4 to get 12, so the answer is 3x + 12.
Evaluate 3x + 5 when x = 4.
17
In the expression 7x - 12, what is the constant?
The constant is -12.
7x - 9
4x - 20
A student simplifies -4(4 - 2x) and gets -16 - 8x. Describe his mistake.
Evaluate 5x - 2(3) when x=6.
24
In the expression 4x + 9y - 15, what are the coefficients?
The coefficients are 4 and 9.
Simplify the expression 5b - 10a - 9b + 12a
-4b + 2a
Simplify -3(x + 6)
-3x - 18
Are the expressions 4(x+3) + 1 and 3x - (-x - 13) equivalent? Show how they both simplify.
Yes! They both simplify to 12x + 13
Evaluate 4(x + y) + 3y - 5 when x = 2 and y = -3.
-18
In the expression 6ab - 3b + 11, what are the coefficients?
The coefficients are 6 and -3.
Simplify the expression -5x + 3y - 2x - 6y + 4.
-7x - 3y + 4
Simplify 2(x+5) + 3(2x-4)
8x - 2
Are the expression 3(2x - 5) + 4x + 1 and 10x - 16 equivalent? Show what they both simplify to.
No!
3(2x - 5) + 4x + 1 = 10x - 14
10x - 16 ≠ 10x - 14
A student earns $8 for every hour of babysitting. Write an expression for the amount earned after "h" hours. Then, determine how much money the student for babysitting for 7 hours.
$56
In the expression 8x + 5 - 3y + 2x - 9, identify the variables, constants, and coefficients of the simplified expression.
Constants - (-4)
Coefficients - 10 and -3
Simplify the expression -4a + 3b - 7 - 6a - 5b + 2 + 3a.
-7a - 2b - 5
Simplify 2(x-3) - 4(4x-8)
-14x + 26
Select all of the following expression that are equivalent to 3(2x + 4) - 2x.
1) 4x + 12
2) 6x - 20 - 2x + 32
3) 10x + 12
4) 2x + 12
5) 4(x + 3)
Correct answers:
1) 4x + 12
2) 6x - 20 - 2x + 32
5) 4(x + 3)
A carnival sells adult tickets for $12 and child tickets for $7. The carnival also makes $200 in snack sales. Write an expression representing the total money collected if "a" adult tickets and "c" child tickets are sold. Then evaluate the expression when 35 adult tickets and 48 child tickets are sold.
12a + 7c + 200
$956