Math Core

Unit 6 · Test

Unit 6 test: Equations and Inequalities

14 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers solutions of equations, one-step equations, writing and graphing inequalities, and independent and dependent variables.

Question 1

Is 55 a solution of 3x+4=193x + 4 = 19?

Question 2

Which number from the set {4,6,8,10}\{4, 6, 8, 10\} is a solution of 30n=5\dfrac{30}{n} = 5?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

Solve n+23=50n + 23 = 50 for nn.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

Solve 7y=917y = 91 for yy.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

Solve b−2.4=5.8b - 2.4 = 5.8 for bb.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

Solve x5=3.2\dfrac{x}{5} = 3.2 for xx.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

Solve 45a=20\dfrac{4}{5}a = 20 for aa.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

Five friends split the cost of a meal equally. Each friend pays $9.40. Write and solve an equation to find the total cost of the meal in dollars.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

Coach says to practice at least 30 minutes each day. Write an inequality for the number of minutes mm.

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 10

Write the inequality shown by the graph. Use xx as the variable.

−5−4−3−2−1012345

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 11

Which number is not a solution of x≥−2x \ge -2?

Question 12

A class sells tickets to a play. What is the dependent variable?

Question 13

The table shows how yy depends on xx. Write an expression for yy in terms of xx.

xx1234
yy8162432

Enter an expression, e.g. 3x^2 - 2x + 1

Question 14

The graph shows pairs (x,y)(x, y) that follow one rule. What is yy when x=10x = 10?

(0, 0)(2, 6)(4, 12)(6, 18)Open in grapher →

Enter a number. Fractions like 3/4 and sqrt(2) are OK.