Algebra 1 Unit 3: Functions and Linear Functions

Function notation, domain, slope and rate of change, and writing the equation of a line in its different forms. 12 questions. Have a go at each one on paper before you tap "Show me how".

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Question 1

Function notationNo calculator

If $f(x)=3x^2-5x$, what is $f(-2)$?

1. $26$
2. $-22$
3. $22$
4. $2$

Question 2

SlopeNo calculator

What is the slope of the line through $(-2,5)$ and $(4,-7)$?

1. $2$
2. $-2$
3. $-\frac{1}{2}$
4. $\frac{1}{2}$

Question 3

Writing linear equationsNo calculator

Which equation is the line with slope 4 that passes through $(3,-1)$?

1. $y=4x+11$
2. $y=-13x+4$
3. $y=4x-13$
4. $y=4x-1$

Question 4

Parallel and perpendicular linesNo calculator

Which line passes through $(1,6)$ and is parallel to $2x+y=7$?

1. $y=\frac{1}{2}x+\frac{11}{2}$
2. $y=-2x+8$
3. $y=-2x+7$
4. $y=2x+4$

Question 5

Parallel and perpendicular linesNo calculator

Which line passes through $(-3,1)$ and is perpendicular to $y=\frac{3}{4}x-2$?

1. $y=-\frac{4}{3}x+5$
2. $y=\frac{4}{3}x+5$
3. $y=-\frac{4}{3}x-3$
4. $y=\frac{3}{4}x+\frac{13}{4}$

Question 6

Domain and rangeNo calculator

What is the domain of $g(x)=\sqrt{x-5}$?

1. $x>5$
2. $x\le 5$
3. $x\ge 5$
4. $x\ge -5$

Question 7

Rate of changeNo calculator

The table shows a linear function. What is its rate of change?

x	0	2	4	6
y	7	4	1	-2

1. $-\frac{2}{3}$
2. $-3$
3. $\frac{3}{2}$
4. $-\frac{3}{2}$

Question 8

InterceptsNo calculator

What is the $x$-intercept of $3x-4y=24$?

1. $(0,-6)$
2. $(0,8)$
3. $(8,0)$
4. $(-6,0)$

Question 9

Linear modelsNo calculator

A taxi charges 3.50 dollars plus 2.25 dollars per mile. Which equation gives the cost $C$, in dollars, of a ride of $m$ miles?

1. $C=3.50m+2.25$
2. $C=2.25m-3.50$
3. $C=2.25m+3.50$
4. $C=5.75m$

Question 10

Function notationNo calculator

If $f(x)=2x-9$, for what value of $x$ is $f(x)=15$?

1. $12$
2. $21$
3. $-3$
4. $3$

Question 11

Writing linear equationsNo calculator

Which equation, in standard form, is the line through $(0,4)$ and $(6,0)$?

1. $2x+3y=12$
2. $3x+2y=8$
3. $2x-3y=12$
4. $3x+2y=12$

Question 12

Graphs of linear functionsNo calculator

Which point is on the graph of $y=-\frac{2}{3}x+5$?

1. $(-3,3)$
2. $(3,2)$
3. $(6,1)$
4. $(9,-2)$