Answers OC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PLiteral Equations

Literal Equations — Unit test Answers

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Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?

1.6 n greater-than-or-equal-to 56

1.6 n less-than-or-equal-to 56

56 n less-than-or-equal-to 1.6

56 n greater-than-or-equal-to 1.6

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An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

9.25 cm

9.7 cm

12.75 cm

18.5 cm

What is the solution to the equation ?

h = –4

h = –2

h = 2

h = 4

A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days, d, he must use the gym to make the membership worthwhile?

StartFraction 5 d + 9 d Over 300 EndFraction = 4 d

StartFraction 5 d + 9 d Over 4 d EndFraction = 300

5d + 9d = 300 – 4d

5d + 9d = 300 + 4d

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?

x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot uppercase A minus 36 EndRoot

x = plus-or-minus StartRoot uppercase A + 36 EndRoot

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

5.2

20.7

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

v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot

v = 2 uppercase E minus m

v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot

v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot

A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?

5 feet

15 feet

27 feet

32 feet

Which graph shows all the values that satisfy

A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward positive 10.

Which graph shows the solution set of the compound inequality or

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.

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?