Algebra I Midterm Review (Unit 3)

What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, -16)?

• $y=-\frac{21}{2}x+\frac{979}{21}$

• $y=-\frac{2}{21}x+\frac{979}{21}$

• $y=-\frac{21}{2}x+5$

• $y=-\frac{2}{21}x+5$

Which equation in standard form has a graph that passes through the point (-4, 2) and has a slope of $\frac{9}{2}$ ?

•  $9x-2y=36$  

•  $9x-2y=26$  

•  $9x-2y=-40$  

•  $9x-2y=-10$  

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

• $y=8x+6$

• $y=8x$

• $y=8x-2$

• $y=6x$

Tags

CCSS.HSF-BF.A.1A

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• $y+7=-3\left(x-4\right)$

• $y+1=-3\left(x+2\right)$

• $y-4=3\left(x+7\right)$

• $y-2=3\left(x-1\right)$

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06 m per day. Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

• $t\left(x\right)=450-0.06x$

• $t\left(x\right)=-0.06\left(x+450\right)$

• $t\left(x\right)=450+0.06x$

• $t\left(x\right)=0.06\left(x+450\right)$

Tags

CCSS.HSF-BF.A.1A

The table represents some points on the graph of a linear function. Which equation represents the same relationship?

• $y+268=\frac{1}{12}\left(x+20\right)$

• $y+20=\frac{1}{12}\left(x+268\right)$

• $y+268=12\left(x+20\right)$

• $y+20=12\left(x+268\right)$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The table represents some of the points on the graph of a linear function. Which function represents the same relationship?

• $h\left(x\right)=-3x-10.5$

• $h\left(x\right)=-x-3.5$

• $h\left(x\right)=3x-10.5$

• $h\left(x\right)=x-3.5$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One-fourth of the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?

• $f\left(x\right)=2,070+\frac{x}{4}$

• $f\left(x\right)=2,070-\frac{x}{4}$

• $f\left(x\right)=\frac{x+2,070}{4}$

• $f\left(x\right)=\frac{x-2,070}{4}$

Tags

CCSS.HSF-BF.A.1A

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor?

• 60

• 0.0375

• 3840

• 40

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

• $\frac{3}{5}$

• $1\frac{2}{3}$

• 7

• 15