Algebra semester test

Solve x + 15/10 = 2/5

-11

A car leaves Seattle traveling at a speed of 50 miles per hour. Two hours later a second car leaves Seattle traveling at 60 miles per hour. The cars distances from Seattle at time t hours are shown in the table. After how much time t will the two cars be the same distance from Seattle.

12 hours

Which numerical expression represents twenty less than the quotient of eighteen and 13.8?

18/13.8-20

Solve 4(x+9) = 6x -4

20

What is the value of 2/4 + 1/4 |9x + 2| when x = 2

20

Which numerical expression represents eighteen less than the quotient of twenty and 13.8

20/13.8 - 18

Select all of the equation that could be used to evaluate (3 1/2) (14)

3(14) + 1/2(14) 3 1/2 (8+6) 3 1/2 (10) + 3 1/2(4)

Which expression is equivalent to (5x^2 - 10x - 25) 3/5

3x^2 - 6x - 15

Which equation represents this sentence. Four times the sum of a number x and a number y is equal to 20

4 (x+y) = 20

The screen of a standard television has a width to height ratio of 4:3. Which proportions can be used to find the height of a standard television with a width of 15 inches

4/15 = 3/h h/15 = 3/4 15/4 = 4/3

LaVant is making a playlist for an upcoming trip. The average length of a song on his digital music player is 3 minutes 56 seconds. If he expects the flight to last about 2.5 hours, how many songs should lavant put on the playlist

40

Which expression is equivalent to (6x^2 - 9x - 24) 2/3

4x^2 - 6x - 16

Which equation represents the sentence. The sum of five times a number and seven is equal to twelve.

5n + 7 = 12

For f(x) = -2x + 7, find f(-1) + f(4)

8

Solve 21 = 3p - 6

9

You can approximate the distance to a lighting strike by counting the seconds between the flash of lighting and the sound of thunder. This table shows the relation ship between time, t, in seconds and distance, d, in miles.

D = 1/5t

Which property can be used to show that 3a = 3a

Reflexive property of equality

Select all of the verbal expressions that represent 7/4 + 2(8)

Seven divided by four plus two times eight The quotient of seven and four increased by the product of eight

Which property can be used to show that if 3a = 4b, then 4b =3a

Symmetric property of equality

The coldest temperature recorded in Alaska was -80*F. This was 10*F warmer than the coldest temperature recorded in Siberia . Which equation can be used to find the coldest temperature recorded in Siberia.

T + 10 = -80 - 90*

Select all of the verbal expressions that represent 10/3+4(9)

Ten divided by three plus four times nine Then divided by three plus the product of four and nine The quotient of ten and three increased but the product of four and nine

Which sentence represents the equation 3x + 4 = 10

The sum of three times x and four equals ten

Which describes the scale on the x and y axes that is the most appropriate for the graph (25, 10) (50, 15) (-37.5, -20) (125, 25) (75, 30)

The x axis should extend from -50 to 150 with a scale of 25. The y axis should extend from -30 to 30 with a scale of 10

Solve the equation 2x + 12/5 = 4y for x

X = 10y - 6

Use the graph to estimate the x and y intercepts of this function. Describe where the function os positive and negative

X intercepts: (2,0) (3,0) (-2,0) Y intercept: (0,12) Positive: when -2 < x < 2 and when x > 3 Negative: when x < -2 and when 2 < x < 3

Solve 15+ax/5 = 10 for x. Assume that a does not equal 0

X- 35/a

The graph of 4x - y = -5 is shown. Does it represent a function. Explain your reasoning

Yes; for each element of the domain, there is only one element of the range

Solve 3 |y+6| = 30

{-16, 4}

What is the domain of the relation shown in the graph

{-3, -1, 1, 5}

Which could be an equation for the graph shown

|x - 2| = 5

The average test score in a class is 78%. Half of the class scored within 8 points of the average. One student received a score of x%. Which shows an expression of that could be used to determine how fare the students score is from the average

|x-78|

Which expression are equivalent to |9 - x|

|x| -|9| if x is > 9