1. (Test1/Q $9 /$ No Calculator)
$$ \begin{array}{r} 3 x+4 y=-23 \\ 2 y-x=-19 \end{array} $$ What is the solution $(x, y)$ to the system of equations above?
| A) $(-5,-2)$
B) $(3,-8)$ C) $(4,-6)$ D) $(9,-6)$ |
2. (Test1/Q 18/No Calculator)
$$ \begin{gathered} x+y=-9 \\ x+2 y=-25 \end{gathered} $$ According to the system of equations above, what is the value of $x$ ?
3. (Test2/Q 2/No Calculator)
$$ \begin{aligned} x+y &=0 \\ 3 x-2 y &=10 \end{aligned} $$ Which of the following ordered pairs $(x, y)$ satisfies the system of equations above?
| A) $(3,-2)$
B) $(2,-2)$ C) $(-2,2)$ D) $(-2,-2)$ |
4. (Test2/Q 20/No Calculator)
$$ \begin{aligned} &a x+b y=12 \\ &2 x+8 y=60 \end{aligned} $$ In the system of equations above, $a$ and $b$ are constants. If the system has infinitely many solutions, what is the value of $\frac{a}{b}$ ?
5. (Test2/Q 29/Calculator)
$$ \begin{aligned} &y=3 \\ &y=a x^{2}+b \end{aligned} $$ In the system of equations above, $a$ and $b$ are constants. For which of the following values of $a$ and $b$ does the system of equations have exactly two real solutions?
| A) $a=-2, b=2$
B) $a=-2, b=4$ C) $a=2, b=4$ D) $a=4, b=3$ |
6. (Test2/Q 34/Calculator)
In one semester, Doug and Laura spent a combined 250 hours in the tutoring lab. If Doug spent 40 more hours in the lab than Laura did, how many hours did Laura spend in the lab?
7. (Test $3 / Q 6 /$ No Calculator)
$$ \begin{aligned} &2 x-3 y=-14 \\ &3 x-2 y=-6 \end{aligned} $$ If $(x, y)$ is a solution to the system of equations above, what is the value of $x-y$ ?
| A) $-20$
B) $-8$ C) $-4$ D) 8 |
8. (Test3/Q 9/No Calculator)
$$ \begin{aligned} &k x-3 y=4 \\ &4 x-5 y=7 \end{aligned} $$ In the system of equations above, $k$ is a constant and $x$ and $y$ are variables. For what value of $k$ will the system of equations have no solution?
| A) $\frac{12}{5}$
B) $\frac{16}{7}$ C) $-\frac{16}{7}$ D) $-\frac{12}{5}$ |
9. (Test3/Q 19/No Calculator)
At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does a hamburger have?
10. (Test $3 / \mathrm{Q} 30 /$ Calculator)
$$ \begin{aligned} &3 x+b=5 x-7 \\ &3 y+c=5 y-7 \end{aligned} $$ In the equations above, $b$ and $c$ are constants. If $b$ is $c$ minus $\frac{1}{2}$, which of the following is true?
| A) $x$ is $y$ minus $\frac{1}{4}$.
B) $x$ is $y$ minus $\frac{1}{2}$. C) $x$ is $y$ minus 1 . D) $x$ is $y$ plus $\frac{1}{2}$. |
11. (Test $4 / Q 3 /$ No Calculator)
$$ \begin{aligned} &\frac{x}{y}=6 \\ &4(y+1)=x \end{aligned} $$ If $(x, y)$ is the solution to the system of equations above, what is the value of $y$ ?
| A) 2
B) 4 C) 12 D) 24 |
12. (Test4/Q 11/No Calculator)
$$ \begin{aligned} &x=2 y+5 \\ &y=(2 x-3)(x+9) \end{aligned} $$ How many ordered pairs $(x, y)$ satisfy the system of equations shown above?
| A) 0
B) 1 C) 2 D) Infinitely many |
13. (Test4/Q 19/No Calculator)
$-3 x+4 y=20,$ $6 x+3 y=15$ If $(x, y)$ is the solution to the system of equations above, what is the value of $x$ ?
14. (Test5/Q 9/No Calculator)
$$ \begin{aligned} y &=x^{2} \\ 2 y+6 &=2(x+3) \end{aligned} $$ If $(x, y)$ is a solution of the system of equations above and $x>0$, what is the value of $x y$ ?
| A) 1
B) 2 C) 3 D) 9 |
15. (Test5/Q 18/No Calculator)
$$ \begin{aligned} \frac{1}{2}(2 x+y) &=\frac{21}{2} \\ y &=2 x \end{aligned} $$ The system of equations above has solution $(x, y)$. What is the value of $x$ ?
16. (Test5/Q $6 /$ Calculator)
An online bookstore sells novels and magazines. Each novel sells for $\$ 4$, and each magazine sells for $\$ 1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\$ 20$, how many novels did she purchase?
| A) 2
B) 3 C) 4 D) 5 |
17. (Test5/Q $12 /$ Calculator)
$$ \begin{array}{r} \frac{1}{2} y=4 \\ x-\frac{1}{2} y=2 \end{array} $$ The system of equations above has solution $(x, y)$. What is the value of $x$ ?
| A) 3
B) $\frac{7}{2}$ C) 4 D) 6 |
18. (Test6/Q $6 /$ No Calculator)
If $x=\frac{2}{3} y$ and $y=18$, what is the value of $2 x-3$ ?
| A) 21
B) 15 C) 12 D) 10 |
19. (Test6/Q 11/Calculator)
$$ \begin{aligned} &7 x+3 y=8 \\ &6 x-3 y=5 \end{aligned} $$ For the solution $(x, y)$ to the system of equations above, what is the value of $x-y$ ?
| A) $-\frac{4}{3}$
B) $\frac{2}{3}$ C) $\frac{4}{3}$ D) $\frac{22}{3}$ |
20. (Test6/Q 34/Calculator)
In the $x y$-plane, the graph of $y=3 x^{2}-14 x$ intersects the graph of $y=x$ at the points $(0,0)$ and $(a, a)$. What is the value of $a$ ?
21. (Test7/Q $3 /$ No Calculator)
$$ \begin{aligned} &x=y-3 \\ &\frac{x}{2}+2 y=6 \end{aligned} $$ Which ordered pair $(x, y)$ satisfies the system of equations shown above?
| A) $(-3,0)$
B) $(0,3)$ C) $(6,-3)$ D) $(36,-6)$ |
22. (Test7/Q $16 /$ Calculator)
If $a-b=12$ and $\frac{b}{2}=10$, what is the value of $a+b$ ?
| A) 2
B) 12 C) 32 D) 52 |
23. (Test7/Q $35 /$ Calculator)
$$ \begin{aligned} &y=x^{2}-4 x+4 \\ &y=4-x \end{aligned} $$ If the ordered pair $(x, y)$ satisfies the system of equations above, what is one possible value of $x$ ?
24. (Test $8 / \mathrm{Q} 14 /$ No Calculator)
$$ \begin{aligned} &y=x^{2}+3 x-7 \\ &y-5 x+8=0 \end{aligned} $$ How many solutions are there to the system of equations above?
| A) There are exactly 4 solutions.
B) There are exactly 2 solutions. C) There is exactly 1 solution. D) There are no solutions. |
25. (Test8/Q 18/No Calculator)
$$ \begin{aligned} -x+y &=-3.5 \\ x+3 y &=9.5 \end{aligned} $$ If $(x, y)$ satisfies the system of equations above, what is the value of $y$ ?
26. (Test2/Q 9/Calculator)
A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let $x$ be the number of 40 -pound boxes and $y$ be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship?
| A) $\left\{\begin{array}{l}40 x+65 y \leq 2,400 \\ x+y \leq 45\end{array}\right.$
B) $\left\{\begin{array}{l}\frac{x}{40}+\frac{y}{65} \leq 2,400 \\ x+y \leq 45\end{array}\right.$ C) $\left\{\begin{array}{l}40 x+65 y \leq 45 \\ x+y \leq 2,400\end{array}\right.$ D) $\left\{\begin{array}{l}x+y \leq 2,400 \\ 40 x+65 y \leq 2,400\end{array}\right.$ |
27. (Test2/Q $21 /$ Calculator)
A project manager estimates that a project will take $x$ hours to complete, where $x>100$. The goal is for the estimate to be within 10 hours of the time it will actually take to complete the project. If the manager meets the goal and it takes $y$ hours to complete the project, which of the following inequalities represents the relationship between the estimated time and the actual completion time?
| A) $x+y < 10$
B) $y>x+10$ C) $y < x-10$ D) $-10 < y-x < 10$ |
28. (Test1/Q $18 /$ Calculator)
$$ \begin{aligned} &y < -x+a \\ &y>x+b \end{aligned} $$ In the $x y$-plane, if $(0,0)$ is a solution to the system of inequalities above, which of the following rclationships between $a$ and $b$ must be true?
| A) $a>b$
B) $b>a$ C) $|a|>|b|$ D) $a=-b$ |
29. (Test $1 / \mathrm{Q} 28 /$ Calculator)
If the system of inequalities $y \geq 2 x+1$ and $y>\frac{1}{2} x-1$ is graphed in the $x y$-plane above, which quadrant contains no solutions to the system?
| A) Quadrant II
B) Quadrant III C) Quadrant IV D) There are solutions in all four quadrants. |
1 B Explanation
2 7 Explanation
3 B Explanation
4 0.25 Explanation
5 B Explanation
6 105 Explanation
7 C Explanation
8 A Explanation
9 370 Explanation
10 A Explanation
11 A Explanation
12 C Explanation
13 0 Explanation
14 A Explanation
15 21/4 Explanation
16 B Explanation
17 D Explanation
18 A Explanation
19 B Explanation
20 5 Explanation
21 B Explanation
22 D Explanation
23 0,3 Explanation
24 C Explanation
25 1.5 Explanation
26 A Explanation
27 D Explanation
28 A Explanation
29 C Explanation
إرسال تعليق