RATIOS, RATES, & PROPORTIONAL THINKING
Simplify the ratio 84:126 and explain how you know it is in simplest form.
2:3
Evaluate: | -18 | - | -7 | + 4
15
Identify whether 0.5625 is terminating or repeating.
Terminating
Identify coefficients, variables, and constants:
7x - 4 + 2x
Coefficients: 7, 2
Variable: x
Constant: -4
Write an expression:
“Eight less than three times a number n.”
3n - 8
A car travels 156 miles in 3.25 hours. What is the unit rate in miles per hour?
48 miles per hour
Order from least to greatest: -9, | -12 |, -3, 0, 8
-9, -3, 0, 8, 12
Convert -11/20 to a decimal.
-0.55
Simplify: 5a - 3(2a - 4)
-a + 12
Write an expression:
“The quotient of a number and 4, increased by 7.”
n/4 + 7
Find 35% of 240, then increase the result by 20%.
100.8
Evaluate: -16 + (-3 x 6)
-34
Convert 0.(36) to a fraction using algebra.
4/11
Simplify completely: 4(3x - 2) - 5x + 9
7x + 1
Write and simplify:
“Five more than twice a number, decreased by the number.”
n + 5
A jacket costs $180 after a 25% discount. What was the original price?
$240
A submarine dives 275 ft, rises 120 ft, then dives another 95 ft. What is its final position relative to sea level?
-250
Which is greater: -0.83 or -5/6?
-5/6
Simplify: -2(5 - y) + 3(y - 4)
5y - 22
Write and simplify:
“Three times the difference of a number and 6.”
3n - 18
A loan of $3,200 earns simple interest at 4.5% for 3.5 years. Find the total amount after interest.
$3,704
Evaluate: -30 / (-5) - | -14 - 6 |
-14
Write a fraction for the repeating decimal 0.1(27)
7/55
Evaluate when x = -3:
2x^2 - 5x - 4
29
Write an expression and evaluate for x = -2:
“Four less than the product of -3 and x.”
2