EQUATION CHECK
Is x = 5 a solution to 4(x − 1) = 16?
Yes.
4(5−1)=4·4=16, so both sides equal 16.
Which value makes 3x − 2 > 13 true?
A) 3 B) 4 C) 5 D) 6
d) 6
Write an equation: A number m plus a number 8 greater than m equals 52.
m + (m + 8) = 52
A rectangle has width w and length 3w+2. Its perimeter is 44 ft. Write an equation.
2w + 2(3w+2) = 44
Solve for y: 3(y − a)/b = c.
y = a + bc/3.
Solve: x/6 + 4 = 9
x = 30
Solve: 14 − 3n ≥ 2
n ≤ 4
Write an inequality: The sum of two consecutive odd integers is at least 28. Let the first be n.
n + (n + 2) ≥ 28.
There are 53 students and 4 chaperones. Each van holds at most 8 people. What inequality models the vans needed?
8v ≥ 57
Solve for y: P = 4x + 2y + 10.
y = (P − 4x − 10)/2
Solve: 4(x − 5) = 28
x=12
Solve and describe the graph: −x/4 + 6 < 10
x > −16
When 3 times a number is subtracted from 20, the result is at most 8. Write and solve.
20 − 3n ≤ 8; n ≥ 4.
Maya’s brother is 4 less than twice Maya’s age. Their ages add to 32. How old is the brother
Brother is 20 years old
Solve: 0.5x + 8 = 2x − 4
x = 8
Solve: 0.4x + 2.7 = 1.5(x + 3)
x = −18/11 (about −1.64).
Solve: 4(3x − 1) − 2(x + 6) > 5x + 9
x > 5
Write an inequality: Five less than twice a number is greater than 17.
2x − 5 > 17
A garden has width w and length 2w+6. Perimeter is 60 ft. Find its dimensions
Width = 8 ft; length = 22 ft.
The smaller of two consecutive even integers is n. The smaller plus twice the larger is 4 less than four times the smaller. Find the integers
8 and 10
Solve: 3(2x − 7) + 4 = 5x + 9
x = 26
Solve: 7 − 2(3x + 1) ≤ 4x − 17
x ≥ 11/10
Two consecutive integers have a sum of 71. Write an equation and find them
n+(n+1)=71; integers 35 and 36
A bus holds at most 9 people. There are 68 students and 4 adults. What is the least number of buses needed?
8 buses.
Trip costs $90 plus $7 per student, with a $440 budget. Three staff attend; bus capacity is 48 total. How many students can the school afford, and will everyone fit on one bus?
50 students by budget; no, 53 people exceed capacity