Evaluate or Simplify
Evaluate when a = –12 and b = 3
b – a
3 – (–12) = 15
Write the word phrase as an algebraic expression.
a number decreased by 3
n – 3
Solve: 52 + s = 37
s = –15
Solve: 2m – 12 = –4
m = 4
A carnival costs $8 for admission and $3 for each ride ticket. How many ride tickets can Delia buy if she has $35 to spend at the carnival?
9 rides
Evaluate when a = 3, b = –2, and c = 5
abc
3 • –2 • 5 = –30
Write the word phrase as an algebraic expression.
two more than the product of 10 and a number
10n + 2
Solve: –7 – x = 12
x = –19
Solve: n/4 + 2 = 10
n = 32
A rectangle has a perimeter of 70 centimeters and a length of 21 centimeters. What is its width?
70 = 2(21 + w)
The width is 14 centimeters
Evaluate when a = 3, b = –2, and c = 5
b(a + c)
–2(3 + 5)
–6 + –10 = –16 or
–2 • 8 = –16
Write the word phrase as an algebraic equation.
The product of six and a number is thirty.
6n = 30
Solve: 4x = –|24|
x = –6
Solve: 5t – 8t = 27
t = –9
Melanie has 3 large tubes of paint. She also has 6 small tubes of paint that each contain 2.5 ounces of paint. If she has 33 ounces of paint in all, how much paint is in each large tube?
6 ounces in each large tube of paint
Simplify the expression by combining like terms:
w + 5 + 3w – 2w + |–7|
2w + 12
Write the word phrase as an algebraic equation.
Eighty-one is equal to ten less than the square of a number.
81 = x2 – 10
Solve: z / (–6) = –22
z = 132
Solve: 6n – 2 = 3n + 4
n = 2
The perimeter of Valerie's room is 44 feet. Her room is a rectangle that is 4 feet longer than it is wide. What is the area of Valerie's room?
The area of Valerie's room is 117 sq. ft.
Simplify the expression by combining like terms:
–9(x – y) + 3y
–9x + 12y
Write the word phrase as an algebraic equation.
The absolute value of negative six plus a number is equal to six.
|–6| + n = 6
Solve: –84 = k + (–4)2
k = –100
Solve: –4(h + 2) = 24
h = –8
A soccer camp had 72 players attend. The players were split into equal groups, and each group had 2 coaches assigned to it. If each group had 10 people in it (including players and coaches), how many groups were there?
72/x + 2 = 10
There were 9 groups