##### The function $h$ is defined by $h(x)=4x+28$. The graph of $y=h(x)$ in the $xy$-plane has an $x$-intercept at $(a,0)$ and a $y$-intercept at $(0,b)$, where $a$ and $b$ are constants. What is the value of $a+b$?
Difficulty: Medium
A:

21

B:

28

C:

32

D:

35

x y
18 130
23 160
26 178
##### For line $h$, the table shows three values of $x$ and their corresponding values of $y$. Line $k$ is the result of translating line $h$ down 5 units in the $xy$-plane. What is the $x$-intercept of line $k$?
Difficulty: Hard
A:

$(-\frac{26}{3},0)$

B:

$(-\frac{9}{2},0)$

C:

$(-\frac{11}{3},0)$

D:

$(-\frac{17}{6},0)$

##### An economist modeled the demand $Q$ for a certain product as a linear function of the selling price $P$. The demand was 20,000 units when the selling price was $\$40$per unit, and the demand was 15,000 units when the selling price was$\$60$ per unit. Based on the model, what is the demand, in units, when the selling price is $\$55$per unit? Difficulty: Hard A: 16,250 B: 16,500 C: 16,750 D: 17,500 Sponsored AdsHide Ads ##### Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of each pair of pants purchased was the same. Hiro purchased 4 shirts and 2 pairs of pants for$\$86$, and Sofia purchased 3 shirts and 5 pairs of pants for $\$166$. Which of the following systems of linear equations represents the situation, if$x$represents the price, in dollars, of each shirt and$y$represents the price, in dollars, of each pair of pants? Difficulty: Easy A:$4x+2y=86 \\3x+5y=166$B:$4x+3y=86 \\ 2x+5y=166$C:$4x+2y=166 \\ 3x+5y=86$D:$4x+3y=166 \\ 2x+5y=86$##### A store sells two different-sized containers of a certain Greek yogurt. The store's sales of this Greek yogurt totaled$1,277.94$dollars last month. The equation$5.48x+7.30y=1,277.94$represents this situation, where$x$is the number of smaller containers sold and$y$is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container? Difficulty: Easy A:$5.48$B:$7.30y$C:$7.30$D:$5.48x$##### Line$k$is defined by$y=3x+15$. Line$j$is perpendicular to line$k$in the$xy$-plane. What is the slope of line$j$? Difficulty: Easy A:$-\frac{1}{3}$B:$-\frac{1}{12}$C: $$-\frac{1}{18}$$ D:$-\frac{1}{45}$Sponsored AdsHide Ads ##### The point$(8,2)$in the xy-plane is a solution to which of the following systems of inequalities? Difficulty: Easy A:$x>0 \\ y>0$B:$x>0 \\ y<0$C:$x<0 \\ y>0$D:$x<0 \\ y<0$#####$5x=15-4x+y=-2$The solution to the given system of equations is$(x,y)$. What is the value of$x+y$? Difficulty: Easy A:$-17$B:$-13$C:$13$D:$17$##### The cost of renting a backhoe for up to$10$days is$\$270$ for the first day and $\$135$for each additional day. Which of the following equations gives the cost$y$, in dollars, of renting the backhoe for$x$days, where$x$is a positive integer and$x\leq 10$? Difficulty: Hard A:$y=270x-135$B:$y=270x+135$C:$y=135x+270$D:$y=135x+135$Sponsored AdsHide Ads ##### What value of$p$satisfies the equation$5p+180=250$? Difficulty: Easy A: 14 B: 65 C: 86 D: 250 ##### The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height$h$in feet, of the front of the roller-coaster car$s$seconds after it starts up the hill? Difficulty: Easy A:$h=8s+15$B:$h=15s+\frac{335}{8}$C:$h=8s+\frac{335}{15}$D:$h=15s+8$##### Line$p$is defined by$2y+18x=9$. Line$r$is perpendicular to line$p$in the$xy$-plane. What is the slope of line$r$? Difficulty: Medium A:$-9$B:$-\frac{1}{9}$C: $$\frac{1}{9}$$ D:$9$Sponsored AdsHide Ads ##### Adam's school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes,$w$, that Adam waits for the bus varies between 0 and 30. Which of the following inequalities gives the values of$w$for which it would be faster for Adam to walk to school? Difficulty: Hard A:$w-5<20$B:$w-5>20$C: $$w+5<20$$ D:$w+5>20$##### If$f$is the function defined by$f(x)=\frac{2x-1}{3}$, what is the value of$f(5)$? Difficulty: Easy A:$\frac{4}{3}$B:$\frac{7}{3}$C:$3$D:$9$#####$d=16t$The given equation represents the distance$d$, in inches, where$t$represents the number of seconds since an object started moving. Which of the following is the best interpretation of 16 in this context? Difficulty: Easy A: The object moved a total of 16 inches. B: The object moved a total of 16$t$inches. C: The object is moving at a rate of 16 inches per second. D: The object is moving at a rate of$\frac{1}{16}$inches per second. Sponsored AdsHide Ads #####$f(x)=39$For the given linear function$f$, which table gives three values of$x$and their corresponding values of$f(x)\$?
Difficulty: Medium
A:
x f(x)
0 0
1 0
2 0
B:
x f(x)
0 39
1 39
2 39
C:
x f(x)
0 0
1 39
2 78
D:
x f(x)
0 39
1 0
2 -39