✅ 8th Grade Math (Algebra I): Create and Solve Linear Equations and Inequalities in One Variable with Real-Life Applications Quiz
✅ 8th Grade Math (Algebra I): Create and Solve Linear Equations and Inequalities in One Variable with Real-Life Applications Quiz
Solve the following one-step equation for $x$:
$$x + 8 = 15$$
B) $x = 7$
C) $x = 1.875$
D) $x = 120$
Solve the following one-step inequality for $y$:
$$4y < 20$$
B) $y > 5$
C) $y < 80$
D) $y < 16$
Solve the following two-step equation for $a$:
$$3a - 5 = 10$$
B) $a = 15$
C) $a = 5$
D) $a = 45$
Solve the following inequality for $x$:
$$2x + 4 \ge 12$$
B) $x \le 4$
C) $x \ge 16$
D) $x \ge 4$
A car rental company charges a flat fee of 40 dollars plus 0.50 dollars per mile driven. If the total bill was 65 dollars, which equation can be used to find the number of miles ($m$) driven?
A) $40m + 0.50 = 65$B) $40 + 0.50m = 65$
C) $40.50m = 65$
D) $40 - 0.50m = 65$
Marcus has 50 dollars to spend at a fair. The entrance fee is 10 dollars, and each ride costs 5 dollars. Which inequality represents the maximum number of rides ($r$) Marcus can go on?
A) $10 + 5r \le 50$B) $10 + 5r \ge 50$
C) $5r \le 50$
D) $10r + 5 \le 50$
Solve the following equation for $x$:
$$5x + 3 = 2x + 12$$
B) $x = 3$
C) $x = 2$
D) $x = 9$
Solve the following equation using the distributive property:
$$4(x - 2) = 20$$
B) $x = 5.5$
C) $x = 7$
D) $x = 4.5$
Solve the following inequality for $z$:
$$-3z + 7 < 1$$
B) $z > 2$
C) $z < -2$
D) $z > -2$
The perimeter of a rectangle is 30 inches. The length is 3 inches longer than the width ($w$). What is the width of the rectangle?
A) 6 inchesB) 9 inches
C) 12 inches
D) 13.5 inches
A cell phone plan costs 30 dollars per month plus 0.10 dollars per text message. If Sarah wants her monthly bill to be at most 45 dollars, what is the maximum number of text messages ($t$) she can send?
A) $t \le 15$B) $t \le 150$
C) $t \ge 150$
D) $t \le 75$
Solve the following equation for $x$:
$$\frac{3}{4}x - 2 = \frac{1}{2}x + 3$$
B) $x = 10$
C) $x = 20$
D) $x = 5$
Solve the following multi-step inequality:
$$5 - 2(x + 1) \le 3x + 13$$
B) $x \le -2$
C) $x \ge 2$
D) $x \le 2$
Two different plumbing companies have different pricing. Company A charges 50 dollars for a service call plus 40 dollars per hour. Company B charges 20 dollars for a service call plus 55 dollars per hour. After how many hours ($h$) will the total cost be exactly the same for both companies?
A) 1.5 hoursB) 3 hours
C) 2 hours
D) 2.5 hours
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