PEMDAS
Solve: 3 + 5 × 2
13
Write an equation for: “The sum of a number and 7 is 15."
x+7=15
Write an algebraic expression for:
“The sum of a number and 4.”
x+4
What is 10% of 70?
0.10 × 70 = 7
What five values are needed to make a box and whisker plot?
Minimum
Q1
Median (q2)
Q3
Maximum
(4 + 6) × 3
30
Simplify:3x+5+2x+7
5x+12
Write an algebraic expression for:
“5 more than twice a number.”
2x+5
What is 30% of 90?
0.30 × 90 = 27
Order the numbers and find the median:
7, 10, 4, 9, 12
Ordered: 4, 7, 9, 10, 12 → Median = 9
8 + (12 ÷ 4) × 5
23
Simplify: 4(2x + 3)
8x + 12
Write an algebraic expression for:
“The difference between a number and 7, multiplied by 3."
3(x-7)
12 is 40% of what number?
0.40( x) = 12
x = 12 ÷ 0.40 = 30
Data: 3, 6, 9, 12, 15, 18, 21
Find the five-number summary.
Answer:
Min = 3, Q1 = 6, Median = 12, Q3 = 18, Max = 21
(7 + 3) × (15 ÷ 5) − 4
26
Simplify: 2(3x + 4) + 5x
6x + 8 + 5x = 11x + 8
Write an algebraic expression for:
“Four times the sum of a number and 6.”
4(x+6)
What percent of 64 is 16?
(x) 64 = 16
x = 16 ÷ 64 = 0.25 = 25%
Use the five-number summary below to find the IQR:
Q1 = 22, Q3 = 36
IQR = 36 − 22 = 14
20 ÷ (2 × 2) + 3²
14
Write and simplify an equation for: “Three times the sum of a number and 5 equals 21.”
Equation: 3(x + 5) = 21
Simplify: 3x + 15 = 21
Write an algebraic expression for:
“The product of 3 and the difference of a number and 8, decreased by 5.”
3(x-8)-5
A student got 72 questions right on a test, which was 90% of the total. How many questions were on the test?
0.90 (x) = 72
x = 72 ÷ 0.90 = 80
A dataset has these five numbers: Minimum = 6, Q1 = 14, Median = 20, Q3 = 27, Maximum = 38.
What is the interquartile range, and what is the total range of the data?
Interquartile Range (IQR) = Q3 − Q1 = 27 − 14 = 13
Range = Maximum − Minimum = 38 − 6 = 32