Question 1

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question
  
-Which month in 2006 had the lowest sales?

Accepted Answer

A)  Month 8 
B)  Month 3 
C)  Month 2 
D)  Month 6 
A)  Month 8 
B)  Month 3 
C)  Month 2 
D)  Month 6

Question 2

Solve the problem
-Suppose the sales of a particular brand of appliance satisfy the relationship $S(x)=50 x+900$, where $S(x)$ represents the number of sales in year $x$, with $x=0$ corresponding to 1982. Find the number of sales in 1990.

Accepted Answer

A)  1250 
B)  2600 
C)  1300 
D)  2550 
A)  1250 
B)  2600 
C)  1300 
D)  2550

Question 3

Find an equation of the line passing through the two points. Write the equation in standard form.
-$(4,-2)$ and $(-2,9)$

Accepted Answer

A)  $-6 x+11 y=-87$ 
B)  $11 x+6 y=32$ 
C)  $-11 x+6 y=32$ 
D)  $6 x-11 y=-87$ 
A)  $-6 x+11 y=-87$ 
B)  $11 x+6 y=32$ 
C)  $-11 x+6 y=32$ 
D)  $6 x-11 y=-87$

Question 4

Describe a situation in which it would be more convenient to use the point-slope form of the equation of a line than the slope-intercept form.

Accepted Answer

Answers will vary. One possibility: Slop

Question 5

Write the equation in slope-intercept form.
-$17 x+5 y=7$

Accepted Answer

A)  $y=\frac{17}{5} x+\frac{7}{5}$ 
B)  $y=17 x-7$ 
C)  $y=-\frac{17}{5} x+\frac{7}{5}$ 
D)  $y=\frac{17}{5} x-\frac{7}{5}$ 
A)  $y=\frac{17}{5} x+\frac{7}{5}$ 
B)  $y=17 x-7$ 
C)  $y=-\frac{17}{5} x+\frac{7}{5}$ 
D)  $y=\frac{17}{5} x-\frac{7}{5}$

Question 6

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$. Find the coordinates of the other endpoint $Q$.
-$P(1.1,6.8)$ and $M(-3.35,7.3)$

Accepted Answer

A)  $Q(-7.8,7.8)$ 
B)  $Q(4.45,-0.5)$ 
C)  $Q(8.9,-1)$ 
D)  $Q(-6.7,14.6)$ 
A)  $Q(-7.8,7.8)$ 
B)  $Q(4.45,-0.5)$ 
C)  $Q(8.9,-1)$ 
D)  $Q(-6.7,14.6)$

Question 7

Find the $x$ - and $y$-intercepts. Then graph the equation.
-$2 y=\frac{3}{5} x$

Accepted Answer

A)  $ (0,0) ;(0,0) $
  
B)  $ (0,0) ;(0,0) $
  
C)  $ (0,0) ;(0,0) $
  
D)  $ (0,0) ;(0,0) $
  
A)  $ (0,0) ;(0,0) $
  
B)  $ (0,0) ;(0,0) $
  
C)  $ (0,0) ;(0,0) $
  
D)  $ (0,0) ;(0,0) $

Question 8

Find the equation in slope-intercept form of the line satisfying the conditions.
-$\mathrm{m}=-\frac{5}{3} ; \mathrm{y}$-intercept $\biggl(0, \frac{35}{3}\biggl)$

Accepted Answer

A)  $y=\frac{5}{3} x-\frac{35}{3}$ 
B)  $y=\frac{5}{3} x+\frac{35}{3}$ 
C)  $y=-\frac{5}{3} x+\frac{35}{3}$ 
D)  $y=-\frac{5}{3} x-\frac{35}{3}$ 
A)  $y=\frac{5}{3} x-\frac{35}{3}$ 
B)  $y=\frac{5}{3} x+\frac{35}{3}$ 
C)  $y=-\frac{5}{3} x+\frac{35}{3}$ 
D)  $y=-\frac{5}{3} x-\frac{35}{3}$

Question 9

Graph the compound inequality.
-$2 x+y \leq 4$ and $x-1>0$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Solve the problem.
-It has been determined that the number of fish $f(t)$ that can be caught in $t$ minutes in a certain pond using a certain bait is $f(t)=0.21 t+1$, for $t>10$. Find the number of fish that can be caught if you fish for 38 minutes. Round your answer to the nearest whole number.

Accepted Answer

A)  42 fish 
B)  9 fish 
C)  19 fish 
D)  40 fish 
A)  42 fish 
B)  9 fish 
C)  19 fish 
D)  40 fish

Question 11

Graph the linear inequality in two variables.
-$x+y \leq 4$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

The graph of the linear equation $y 1$ is shown on a graphing calculator screen, along with the $x$-value of the $x$-intercept of the line. Use the screen to solve the following equation or inequality.
-$\mathrm{y}_{1}>0$

Accepted Answer

A)  $(-\infty, 0)$ 
B)  $(0, \infty)$ 
C)  $(-3, \infty)$ 
D)  $(-\infty,-3)$ 
A)  $(-\infty, 0)$ 
B)  $(0, \infty)$ 
C)  $(-3, \infty)$ 
D)  $(-\infty,-3)$

Question 13

Find the average rate of change illustrated in the graph.
-

Accepted Answer

A)  $\$ 4.00$ per minute 
B)  $\$ .50$ per minute 
C)  $\$ 2.00$ per minute 
D)  $\$ .25$ per minute 
A)  $\$ 4.00$ per minute 
B)  $\$ .50$ per minute 
C)  $\$ 2.00$ per minute 
D)  $\$ .25$ per minute

Question 14

Complete the table for the equation.
-$-6 x+2 y=8$

Accepted Answer

A)  $0 ; 10 ;-2$ 
B)  $0 ;-10 ;-2$ 
C)  $0 ; 2 ;-10$ 
D)  $0 ;-2 ; 10$ 
A)  $0 ; 10 ;-2$ 
B)  $0 ;-10 ;-2$ 
C)  $0 ; 2 ;-10$ 
D)  $0 ;-2 ; 10$

Question 15

Solve the problem.
-Find $f(-1)$ when $f(x)=3 x^{2}+4 x-3$.

Accepted Answer

A)  -4 
B)  4 
C)  -6 
D)  2 
A)  -4 
B)  4 
C)  -6 
D)  2

Question 16

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$y - x=1 ;(3, \quad),(\quad ,8),(4, \quad)$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Decide whether the relation is a function.
-$\{(-6,-1),(-1,6),(1,-9),(7,-5)\}$

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function

Question 18

Decide whether the relation is a function.
-$\{(-2,-9),(2,8),(6,-2),(9,-2),(11,-8)\}$

Accepted Answer

A)  Function 
B)  Not a function 
A)  Function 
B)  Not a function

Question 19

Solve the problem
-Using a phone card to make a long distance call costs a flat fee of $\$ 0.19$ plus $\$ 0.13$ per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Accepted Answer

A)  $\$ 0.58$ 
B)  $\$ 3.02$ 
C)  $\$ 0.39$ 
D)  $\$ 0.70$ 
A)  $\$ 0.58$ 
B)  $\$ 3.02$ 
C)  $\$ 0.39$ 
D)  $\$ 0.70$

Question 20

Solve the problem.
-Find $f(k-1)$ when $f(x)=4 x^{2}+3 x+5$.

Accepted Answer

A)  $4 k^{2}-5 k+6$ 
B)  $4 k^{2}+23 k+12$ 
C)  $4 \mathrm{k}^{2}-5 \mathrm{k}+12$ 
D)  $-5 k^{2}+4 k+6$ 
A)  $4 k^{2}-5 k+6$ 
B)  $4 k^{2}+23 k+12$ 
C)  $4 \mathrm{k}^{2}-5 \mathrm{k}+12$ 
D)  $-5 k^{2}+4 k+6$

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Which month in 2006 had the lowest sales?

Solve the problem -Suppose the sales of a particular brand of appliance satisfy the relationship $S(x)=50 x+900$ , where $S(x)$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982. Find the number of sales in 1990.

Find an equation of the line passing through the two points. Write the equation in standard form. - $(4,-2)$ and $(-2,9)$

Describe a situation in which it would be more convenient to use the point-slope form of the equation of a line than the slope-intercept form.

Write the equation in slope-intercept form. - $17 x+5 y=7$

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$ . Find the coordinates of the other endpoint $Q$ . - $P(1.1,6.8)$ and $M(-3.35,7.3)$

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $2 y=\frac{3}{5} x$ $Find the x - and y -intercepts. Then graph the equation. - 2 y=\frac{3}{5} x$

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=-\frac{5}{3} ; \mathrm{y}$ -intercept $\biggl(0, \frac{35}{3}\biggl)$

Graph the compound inequality. - $2 x+y \leq 4$ and $x-1>0$ $Graph the compound inequality. - 2 x+y \leq 4 and x-1>0$

Solve the problem. -It has been determined that the number of fish $f(t)$ that can be caught in $t$ minutes in a certain pond using a certain bait is $f(t)=0.21 t+1$ , for $t>10$ . Find the number of fish that can be caught if you fish for 38 minutes. Round your answer to the nearest whole number.

Graph the linear inequality in two variables. - $x+y \leq 4$ $Graph the linear inequality in two variables. - x+y \leq 4$

Find the average rate of change illustrated in the graph. -

Complete the table for the equation. - $-6 x+2 y=8$

Solve the problem. -Find $f(-1)$ when $f(x)=3 x^{2}+4 x-3$ .

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x=1 ;(3, \quad),(\quad ,8),(4, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x=1 ;(3, \quad),(\quad ,8),(4, \quad)$

Decide whether the relation is a function. - $\{(-6,-1),(-1,6),(1,-9),(7,-5)\}$

Decide whether the relation is a function. - $\{(-2,-9),(2,8),(6,-2),(9,-2),(11,-8)\}$

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $\$ 0.19$ plus $\$ 0.13$ per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Solve the problem. -Find $f(k-1)$ when $f(x)=4 x^{2}+3 x+5$ .

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 3: Linear Equations, Graphs, and Functions

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Which month in 2006 had the lowest sales?

Solve the problem -Suppose the sales of a particular brand of appliance satisfy the relationship S(x)=50x+900S(x)=50 x+900S(x)=50x+900 , where S(x)S(x)S(x) represents the number of sales in year xxx , with x=0x=0x=0 corresponding to 1982. Find the number of sales in 1990.

Find an equation of the line passing through the two points. Write the equation in standard form. - (4,−2)(4,-2)(4,−2) and (−2,9)(-2,9)(−2,9)

Describe a situation in which it would be more convenient to use the point-slope form of the equation of a line than the slope-intercept form.

Write the equation in slope-intercept form. - 17x+5y=717 x+5 y=717x+5y=7

Suppose that segment PQP QPQ has the given coordinates for one endpoint PPP and for its midpoint MMM . Find the coordinates of the other endpoint QQQ . - P(1.1,6.8)P(1.1,6.8)P(1.1,6.8) and M(−3.35,7.3)M(-3.35,7.3)M(−3.35,7.3)

Find the xxx - and yyy -intercepts. Then graph the equation. - 2y=35x2 y=\frac{3}{5} x2y=53​x

Find the equation in slope-intercept form of the line satisfying the conditions. - m=−53;y\mathrm{m}=-\frac{5}{3} ; \mathrm{y}m=−35​;y -intercept (0,353)\biggl(0, \frac{35}{3}\biggl)(0,335​)

Graph the compound inequality. - 2x+y≤42 x+y \leq 42x+y≤4 and x−1>0x-1>0x−1>0

Graph the linear inequality in two variables. - x+y≤4x+y \leq 4x+y≤4

The graph of the linear equation y1y 1y1 is shown on a graphing calculator screen, along with the xxx -value of the xxx -intercept of the line. Use the screen to solve the following equation or inequality. - y1>0\mathrm{y}_{1}>0y1​>0

Find the average rate of change illustrated in the graph. -

Complete the table for the equation. - −6x+2y=8-6 x+2 y=8−6x+2y=8

Solve the problem. -Find f(−1)f(-1)f(−1) when f(x)=3x2+4x−3f(x)=3 x^{2}+4 x-3f(x)=3x2+4x−3 .

Graph the equation by determining the missing values needed to plot the ordered pairs. - y−x=1;(3,),(,8),(4,)y - x=1 ;(3, \quad),(\quad ,8),(4, \quad)y−x=1;(3,),(,8),(4,)

Decide whether the relation is a function. - {(−6,−1),(−1,6),(1,−9),(7,−5)}\{(-6,-1),(-1,6),(1,-9),(7,-5)\}{(−6,−1),(−1,6),(1,−9),(7,−5)}

Decide whether the relation is a function. - {(−2,−9),(2,8),(6,−2),(9,−2),(11,−8)}\{(-2,-9),(2,8),(6,-2),(9,-2),(11,-8)\}{(−2,−9),(2,8),(6,−2),(9,−2),(11,−8)}

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $0.19\$ 0.19$0.19 plus $0.13\$ 0.13$0.13 per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Solve the problem. -Find f(k−1)f(k-1)f(k−1) when f(x)=4x2+3x+5f(x)=4 x^{2}+3 x+5f(x)=4x2+3x+5 .

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Solve the problem -Suppose the sales of a particular brand of appliance satisfy the relationship $S(x)=50 x+900$ , where $S(x)$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982. Find the number of sales in 1990.

Find an equation of the line passing through the two points. Write the equation in standard form. - $(4,-2)$ and $(-2,9)$

Write the equation in slope-intercept form. - $17 x+5 y=7$

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$ . Find the coordinates of the other endpoint $Q$ . - $P(1.1,6.8)$ and $M(-3.35,7.3)$

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $2 y=\frac{3}{5} x$ $Find the x - and y -intercepts. Then graph the equation. - 2 y=\frac{3}{5} x$

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=-\frac{5}{3} ; \mathrm{y}$ -intercept $\biggl(0, \frac{35}{3}\biggl)$

Graph the compound inequality. - $2 x+y \leq 4$ and $x-1>0$ $Graph the compound inequality. - 2 x+y \leq 4 and x-1>0$

Graph the linear inequality in two variables. - $x+y \leq 4$ $Graph the linear inequality in two variables. - x+y \leq 4$

Complete the table for the equation. - $-6 x+2 y=8$

Solve the problem. -Find $f(-1)$ when $f(x)=3 x^{2}+4 x-3$ .

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x=1 ;(3, \quad),(\quad ,8),(4, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x=1 ;(3, \quad),(\quad ,8),(4, \quad)$

Decide whether the relation is a function. - $\{(-6,-1),(-1,6),(1,-9),(7,-5)\}$

Decide whether the relation is a function. - $\{(-2,-9),(2,8),(6,-2),(9,-2),(11,-8)\}$

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $\$ 0.19$ plus $\$ 0.13$ per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Solve the problem. -Find $f(k-1)$ when $f(x)=4 x^{2}+3 x+5$ .