Inequalities — Unit test Answers

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Celo used the simple interest formula to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

Question illustration
A
uppercase P = StartFraction uppercase A Over 1 + r t EndFraction
Option A
B
uppercase P = StartFraction 1 + r t Over uppercase A EndFraction
Option B
C
uppercase P = uppercase A minus (1 + r t)
Option C
D
uppercase P = uppercase A + (1 + r t)
Option D
3

The formula for the volume of a pyramid is Which of the following equations is equivalent to the given formula?

Question illustration
A
uppercase B = StartFraction 3 uppercase V Over h EndFraction
Option A
B
uppercase B = StartFraction 3 h Over uppercase V EndFraction
Option B
C
uppercase B = StartFraction uppercase V minus one-third Over h EndFraction
Option C
D
uppercase B = StartFraction uppercase V + one-third Over h EndFraction
Option D
7

The formula to determine energy is . What is the formula solved for v?

Question illustration
A
v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot
Option A
B
v = 2 uppercase E minus m
Option B
C
v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot
Option C
D
v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot
Option D
9

What is the most simplified expression for ?

Question illustration
A
2 c squared d + d c + 6 c squared d squared
Option A
B
2 c squared d + 5 d c + 6 c squared d squared
Option B
C
3 c squared d + 3 d c + 6 c squared d squared + c d
Option C
D
3 c squared d + 2 d c + 6 c squared d squared minus 2 cd
Option D
10

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

Question illustration
A
x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot
Option A
B
x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot
Option B
C
x = plus-or-minus StartRoot uppercase A minus 36 EndRoot
Option C
D
x = plus-or-minus StartRoot uppercase A + 36 EndRoot
Option D
12

Miguel’s steps in evaluating an expression are given below. Step 1: Step 2: Step 3: Step 4: What, if any, was Miguel’s mistake?

Question illustration
A
Miguel made no mistakes.
B
Miguel incorrectly evaluated 2³ in step 1.
C
Miguel incorrectly multiplied before dividing in step 3.
D
Miguel should have used the distributive property in step 1.

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