Answers AZ-Intermediate Algebra A MA311Solving Linear Equations: Variable on One Side

Solving Linear Equations: Variable on One Side — Unit test Answers

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Which equation represents a line that passes through (2, –) and has a slope of 3?

y – 2 = 3(x + )

y – 3 = 2(x + )

y + = 3(x – 2)

y + = 2(x – 3)

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Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).

c(x) = 5.50 + 20.50x

c(x) = 5.50x + 20.50

c(x) = 5.50 + 21.60x

c(x) = 5.50x + 21.60

Which input value produces the same output value for the two functions on the graph?

x = –3

x = –1

x = 1

x = 3

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

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

It is linear because the graph decreases over time.

It is linear because there is both an independent and a dependent variable.

It is nonlinear because linear functions are increasing functions.

It is nonlinear because linear functions increase or decrease at the same rate.

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

y – 6 = 2(x – 10)

y – 2 = (x – 10)

y – 3 = (x – 2)

y – 3 = 2(x – 10)

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

–3

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

y = x + 2

y = x – 4

y = x +

y = x –

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

4.9

9.8

10.2

19.6

The graph represents the cost of a subscription to a newspaper.

$1.50

$7.50

$15.00

$30.00

What is the slope of the line represented by the equation f(t)=2t−6?

The slope is 2 and the y-intercept is −6.

The slope is −6 and the y-intercept is 2.

The slope is 2 and the y-intercept is 6.

The slope is 6 and the y-intercept is 2.

The graph shows the amount of money Miguel earns after working x hours.

hours per dollar

3 dollars per hour

13 dollars per hour

What is the y-intercept of the function f(x)=4 – 5x?

–5

–4

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

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

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

b = –a

–b = –a

b – a = 0

b(–a) = 0

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)

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

x < –3

x > –3

x < 3

x > 3

Which is the graph of the equation ?