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Unit 1 Test

Last updated about 3 years ago

21 Nsɛmmisa

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1.

Choose the correct graph of f(x) = |x + 3| + 2

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2.

What is the domain and range for the graph below?

Domain: all real numbers; Range: y ≤ -1

Domain: all real numbers; Range: y ≥ -1

Domain: y ≥ -1; Range: all real numbers

Domain: y ≤ -1; Range: all real numbers

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3.

Does this table represent a function?

Yes!

No!

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4.

Given g(x)=x^2-12, find g(-3).

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5.

What is the correct equation for the graph?

y= 1/3|x-2|+1

y=-1/3|x+2|+1

y= 1/3|x+2|+1

y= -3|x+2|+1

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6.

Given f(x)=-3x+10, find x if f(x)=25.

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7.

Check ALL the graphs the represent functions.

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8.

Which statement accurately describes f(1)=5 for City 1? (the top line)

In the first month, there was 1 inch of rainfall.

In the fifth month there was 1 inch of rainfall.

In the first month, there was 5 inches of rainfall.

In the fifth month there were 5 inches of rainfall.

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9.

Select ALL mistakes that Tracy made when graphing the system of inequalities.
The 1st inequality is purple.
The 2nd inequality is orange.

The orange graph should be shaded BELOW the line

The purple graph should be shaded BELOW the line

The orange line should be SOLID

The purple line should be SOLID

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10.

Which point is a solution to the system of inequalities graphed below?

(1,4)

(0,-4)

(-2,-4)

(4,1)

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11.

Solve the system of equations and select your answer.

(3,1)

No solution

(-1,0)

Infinite solutions

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12.

Set up a system of equations and solve to find your answer. No work = no credit!
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?

5 fancy shirts & 2 plain shirts

4 fancy shirts & 3 plain shirts

3 fancy shirts & 4 plain shirts

2 fancy shirts & 5 plain shirts

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13.

Which system represents this scenario?
All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7 each and some students rode in buses which hold 25 each. How many of each type of vehicle did they use if there were 15 vehicles total?

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14.

Evaluate.

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15.

Write the domain in interval notation for the graph.
Hint: use brackets, parentheses, comma, etc.

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16.

Solve the inequality and select the graph that shows the solutions on the given number line.
No work = no credit!

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17.

Select ALL of the solutions to the absolute value inequality.

x ≥ 6

x ≤ 6

x ≤ 8

x ≤ 2

x ≤ 14/3

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18.

Select ALL of the solutions to the absolute value equation.
No work = no credit!

x = 7

x = -6

x = -3

x = 0

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19.

The cost, C, per gigabyte of data used, g, for a cell phone plan is given by the function C(g)=10g+40. What is the slope, and what does it mean in the context of the problem?

$40. The cell phone plan starts at 40 dollars

$40. Each gigabyte costs 40 dollars.

$10. The cell phone plan starts at 10 dollars

$10. Each gigabyte costs 10 dollars.

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20.

Write the equation of the line y=mx+b that passes through the points (1,5) and (-1,-3).
No work = no credit!

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21.

Select ALL of the solutions to the absolute value equation.

x= -3.5

x=7

x= 1/2

x= -1/2

No solution