HMH Unit 1 Algebra

Solve for x: a(x+b)=c

Wyatt and Cindy had met for lunch at a park. After lunch, they both ride their bikes in opposite directions. Wyatt rides at a rate of 12 mph and Cindy rides at a rate of 14 mph. Cindy takes 6 minutes to clean up, then leaves. If c = the number of hours Cindy rides, write an equation to find when they would be 18 miles apart.

• 14c + 12w = 18

• 14c = 12(c+10)

• 14c + 12(c + 0.1)=18

• 14(c - 0.1) + 12c = 18

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

What are the x- and y-intercepts for the equation 3x + 8y = 5?

• x-intercept = 3/5 and y-intercept = 5/8

• x-intercept = 3/5 and y-intercept = 8/5

• x-intercept = 3/5 and y-intercept = 5/8

• x-intercept = 5/3 and y-intercept = 8/5

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

Which statement is true about the graph of the line x = 2?

• It is a vertical line.

• It is a horizontal line

• It passes through (0, 2).

• It passes through the origin.

Which statement is true about the graph of the line 8x + 3y = 0?

• It is a vertical line.

• It is a horizontal line.

• It passes through (8, 3).

• It passes through the origin.

What is the average rate of change for the line shown in the graph?

• 2

• 4

• 6

• 8

• 10

Which set of ordered pairs does not represent a function?

• (4, 1), (6, 2), (7, 5), (9, 2)

• (0, 5), (1, 7), (2, 9), (3, 11)

• (−2, 5), (0, 2), (9, −6), (8, 7)

• (5, 5), (6, 10), (10, 15), (5, 20)

The table shows the height of a child each year on the child’s birthday.

• f(x) = 10x

• f(x) = 10x + 70

• f(x) = 10x + 80

• f(x) = 10x + 120