Unit Test — Unit test Answers

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What is the value of x in the equation ?

StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.

StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.

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The tables represent the functions f(x) and g(x).

x = –3

x = –1

x = 0

x = 1

Step 1: –10 + 8x < 6x – 4Step 2: –10 < –2x – 4Step 3: –6 < –2xStep 4: ________

x < –3

x > –3

x < 3

x > 3

Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.

30 – g + g

3(30 – g)

30 – g(3)

30 – g + 3

The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

10°F

20°F

122°F

132°F

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

Step 1

Step 2

Step 3

Step 4

Solve the equation.y + 3 = –y + 9

y = 1

y = 3

y = 6

y = 9

What is the solution to the linear equation?6k + 10.5 = 3k + 12

k = 0.5

k = 2

k = 7.3

k = 9

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

y = a · πx

y = a + (πx)

y = a – πx

y = a ÷ (πx)

Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach.How many cups of salad are in the resulting mixture?

What is the value of n in the equation ?

n = 0

n = 2

n = 4

n = 6

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

–12 – 20x ≤ –6x + 9

–12 – 20x ≥ –6x + 9

–12 + 20x ≤ –6x + 9

–12 + 20x ≥ –6x + 9

Fiona solved the equation shown. – (6x – 3) = –

Simplify by combining like terms.

Simplify by using addition property of equality.

Simplify by using the multiplication property of equality.

Simplify by using the division property of equality.

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

h = (– b)÷ r

h = – b ÷ r

h = ÷ r – b

h = ÷ r

Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce and garlic powder costs $3 per ounce. The table shows the costs of the ingredients.

What is the solution to the linear equation? + p = + p

p = 1

p = 2

p = 8

p = 10

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

0.2 inches

4.5 inches

46.1 inches

414.7 inches

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

0.1n + 0.05(n – 175) = 13.30

0.1n + 0.05(175 – n) = 13.30

0.1(n – 175) + 0.05 = 13.30

0.1(175 – n) + 0.05n = 13.30

Solve the inequality.2(4x – 3) ≥ –3(3x) + 5x?

x ≥ 0.5

x ≥ 2

(–∞, 0.5]

(–∞, 2]

What value of x is in the solution set of 2x – 3 > 11 – 5x?

–3

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Unit Test — Unit test Answers

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