Algebra 1 semester 1 test

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

*3(15) + 1/2 (14) *3 1/2 (10) + 3 1/2 (4) *3 1/2 (8+6)

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

*The quotient of ten and three increased by the product of four and nine *ten divided by three plus four times nine *ten divided by three plus the product of four and nine

The screen of a standard television has a width to height ratio of 4:3. Which proportion(s) can be used to find the height of a standard television screen with a width of 15 inches? Select all that apply.

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

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 two eight

Which expression(s) are equivalent to |9 - x|?

*|x-9| *|9| + |x| If x < 0 *|x| - |9| if x > 9

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

20/ 13.8 - 18

LaVant is making a playlist for an upcoming trip. The average length of a song on his digital music player is 3 minutes and 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

Select all of the points that are relative minima of the function shown.

D, E

You can approximate the distance to a lightning store by counting the seconds between the flash of lightning and the sound of thunder. This table shows the relationship between time and distance. Which equation shows the relationship between the time, t, in seconds and the distance, d, in miles?

D= 1/5t

The graph of a function is shown. Use the graph to describe the line symmetry, if any of the function.

No line of symmetry

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

Reflexive property of equality

The coldest temperature recorded in Alaska was -80 degrees. This was 10 degrees warmer than the coldest temperature recorded in Siberia. Which equation can be used to find the coldest temperature recorded in Siberia? What is the coldest temperature recorded in Siberia?

T + 10= -80; -90 degrees

Which describes the scale on the x- and -axes that is most appropriate for the graph of (25, 10), (50, 15), (-37.5, 20), (125, 25), and (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 15+ax/5 = 10 for x. Assume that a doesn't = 0.

X=35/a

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

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

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 that could be used to deter,one how far the student's score is from the average?

|x-78|

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

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 a speed of 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 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

For f(x) = -2x +7, find the value of f(-1) + (4).

8

Solve 21 = 3p- 6.

9

Marisol wants to determine whether the difference n of the irrational number [square root of 2] and the rational number 1/2 is rational or irrational. Her work is shown.

Case 1 fails because [square root of 2] is irrational. So, n must be an irrational number. The difference of an irrational number and a rational number is an irrational number.

Which property can be used to show that if 3a = 4b, the. 4b = 3a?

Symmetric property of equality

Which sentence represents the equation? 3x+4=10

The sum of three times x and four equals ten.

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 and describe where the function is 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