✅ SAT Math: Heart of Algebra Quiz
🚀 Ready for the Quiz?
This is a great opportunity to test your knowledge and see what you've learned. Read the questions carefully and check the solutions!
✅ SAT Math: Heart of Algebra Quiz
If $3x - 7 = 11$, what is the value of $x$?
A) 4B) 6
C) 18
D) 21
If $y = 4x + 3$ and $x = 2$, what is the value of $y$?
A) 7B) 11
C) 14
D) 20
What is the solution to the equation $2(x + 5) - 3 = 17$?
A) 5B) 6
C) 7.5
D) 8
Which ordered pair $(x, y)$ is the solution to the system of equations below?
$$
y = x - 1
2x + y = 8
$$
B) (3, 2)
C) (4, 3)
D) (5, 4)
A line in the $xy$-plane has the equation $y = -2x + 6$. What is the y-intercept of the line?
A) -2B) 0
C) 3
D) 6
A taxi charges a flat fee of 3 plus 2.50 per mile. If $C$ represents the total cost and $m$ represents the number of miles traveled, which equation represents the total cost?
A) $C = 3m + 2.50$B) $C = 2.50m + 3$
C) $C = (3 + 2.50)m$
D) $C = 3m - 2.50$
What is the solution $(x, y)$ to the system of equations below?
$$
2x + 3y = 13
3x - y = 3
$$
B) (2, 3)
C) (3, 2)
D) (4, 1)
Which inequality represents the solution set for $3(x - 4) + 5 \le 20$?
A) $x \le 9$B) $x \ge 9$
C) $x \le 11$
D) $x \ge 11$
The amount of water $W$ (in gallons) remaining in a tank after $t$ minutes is given by the equation $W = 500 - 10t$. What does the number 10 represent in this equation?
A) The initial amount of water in the tank.B) The rate at which water is being added to the tank.
C) The rate at which water is being drained from the tank.
D) The total time it takes for the tank to be empty.
What are the solutions to the equation $|3x - 6| = 15$?
A) $x = 7$ onlyB) $x = -3$ only
C) $x = 7$ and $x = -3$
D) $x = 3$ and $x = -7$
If $P = 2L + 2W$, which of the following equations correctly expresses $L$ in terms of $P$ and $W$?
A) $L = P - 2W$B) $L = \frac{P - 2W}{2}$
C) $L = \frac{P}{2} - W$
D) $L = 2P - 2W$
For what value of $k$ does the system of equations below have no solution?
$$
3x + 4y = 12
kx + 8y = 20
$$
B) 4
C) 6
D) 8
A plumber charges a service fee of 60 plus 50 per hour for labor. If a customer's total bill for a job was between 210 and 360, inclusive, what is the possible range of hours, $h$, the plumber worked?
A) $3 \le h \le 6$B) $2 \le h \le 5$
C) $3 \le h \le 7$
D) $4 \le h \le 6$
If $a$ and $b$ are constants and the equation $ax + 7 = 2(x + b)$ has infinitely many solutions for $x$, what is the value of $a + b$?
A) 3.5B) 5.5
C) 7
D) 9
Scan QR Code for Answer Key & Detailed Solutions
https://www.eokultv.com/worksheet-generator/sat-math-heart-of-algebra/quizzes