algebra part 1

Question 1 (5 points)

Solve 4(t + 1) = 6t – 1.

Question 1 options:

	a) 1
	b) 112$1\frac{1}{2}$
	c) 212$2\frac{1}{2}$
	d) 0

Question 2 (5 points)

Solve m – 13 = 8.

Question 2 options:

	a) -21
	b) -5
	c) 5
	d) 21

Question 3 (5 points)

Which ratio forms a proportion with 714$\frac{7}{14}$?

Question 3 options:

	a) 512$\frac{5}{12}$
	b) 25$\frac{2}{5}$
	c) 49$\frac{4}{9}$
	d) 36$\frac{3}{6}$

Question 4 (5 points)

Solve |c-5| = 7

Question 4 options:

	a) {-4,6}
	b) ∅$\varnothing$
	c) {-2,12}
	d) {-4,4}

Question 5 (5 points)

Machine A can produce 435 widgets in 3 hours. At this rate, how many widgets can Machine A produce in 7 hours?

Question 5 options:

	a) 3045
	b) 1015
	c) 21
	d) 186

Question 6 (5 points)

Solve 2t + 1 = 3

Question 6 options:

	a) 1
	b) 2
	c) -2
	d) -1

Question 7 (5 points)

Solve 3t – 6 = t – 2

Question 7 options:

	a) -4
	b) -2
	c) 1
	d) 2

Question 8 (5 points)

Translate the following sentence into an equation. The sum of twice a number x and 13 is two less than three times x.

Question 8 options:

	a) 2x + 13 = 2 – 3x
	b) 2(x + 13) + 3x – 2
	c) 2x + 13 = 3x – 2
	d) 2x + 13 = 3(x – 2)

Question 9 (5 points)

In Death Valley, California, the highest ground temperature recorded was 94°C on July 15, 1972. In the formula C = 59(F −32)$C=\frac{5}{9}\left(F–32\right)$, C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit. To the nearest degree, what is the highest ground temperature in Death Valley in Fahrenheit?

Question 9 options:

	a) 34°F$34°F$
	b) 201 °F$201°F$
	c) 137°F$137°F$
	d) 84 °F$84°F$

Question 10 (5 points)

Solve 35x = 15$\frac{3}{5}x=15$

Question 10 options:

	a) 9
	b) 25
	c) 75
	d) 5

Question 11 (5 points)

Translate the following equation into a verbal sentence. x + 5 = 2(7 + x)

Question 11 options:

	a) The number x plus five is two times seven plus x.
	b) The number x plus five is two times the sum of seven and x.
	c) The quotient of x and five is two times seven plus x.
	d) The product of x and five is the sum of two times seven and x.

Question 12 (5 points)

Solve the formula

V = 13πr2h for h$V=\frac{1}{3}{\mathrm{\pi r}}^{2}h\mathrm{for}h$

Question 12 options:

	a) 3Vπr2$\frac{3V}{{\mathrm{\pi r}}^2}$
	b) 3πr2V$3{\mathrm{\pi r}}^{2V}$
	c) 13r2V$\frac{1}{3}{r}^{2}V$
	d) v3πr2$\frac{v}{3{\mathrm{\pi r}}^2}$

Question 13 (5 points)

Translate the following equation into a verbal sentence. 3x – y = 5(y + 2x)

Question 13 options:

	a) Three times x minus y is five times the sum of y and two times x.
	b) Three times x less than y is five times y plus two times x.
	c) The sum of three times x and y is five times y plus two times x.
	d) Translate the following equation into a verbal sentence. 3x – y = 5(y + 2x)

Question 14 (5 points)

Solve the proportion

27 = x42$\frac{2}{7}=\frac{x}{42}$

Question 14 options:

	a) 6
	b) 12
	c) 12$\frac{1}{2}$

Question 15 (5 points)

Solve y – 18 = –3.

Question 15 options:

	a) 15
	b) -21
	c) 21
	d) -15

Question 16 (5 points)

Solve 5(g – 2) + g = 6(g – 4).

Question 16 options:

	a) 0
	b) all numbers
	c) 2
	d) ∅$\varnothing$

Question 17 (5 points)

Translate the following sentence into an equation. Twice a number m minus three equals the sum of m and five.

Question 17 options:

	a) 2(m – 3) = m + 5
	b) 2m – 3 = 5m
	c) 2m – 3 = m + 5
	d) 2(m – 3) = 5m

Question 18 (5 points)

Joe and Janna leave home at the same time, traveling in opposite directions. Joe drives 45 miles per hour and Janna drives 40 miles per hour. In how many hours will they be 510 miles apart?

Question 18 options:

	a) 6 hours
	b) 4 hours
	c) 5 hours
	d) 7 hours

Question 19 (5 points)

Evaluate |2b – 5| + 1 if b = 1.

Question 19 options:

	a) 4
	b) -2
	c) -8
	d) 2

Question 20 (5 points)

Solve 5n = 35

Question 20 options:

	a) 165
	b) 7
	c) 30
	d) 40

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