Solving One-Variable Equations with Systems — Unit test

Question 1

Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y-intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?

Revolt · Accepted Answer

one

Question 2

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

Revolt · Accepted Answer

The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Question 3

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

Revolt · Accepted Answer

5(4) – 6 + 5(4) – 6

Question 4

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

Revolt · Accepted Answer

all real values of x except x = 5

Question 5

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

Revolt · Accepted Answer

mc006-3.jpg

Question 6

A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

Revolt · Accepted Answer

y = 7x

Question 7

Which relation below represents a one-to-one function?

Revolt · Accepted Answer

A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.

Question 8

For what value of is the function one-to-one?

Revolt · Accepted Answer

13

Question 9

Which graph represents the same relation as the set ?

Revolt · Accepted Answer

A coordinate plane has 4 points. The points are (negative 3, 2), (3, negative 2), (3, 3), (5, 5).

Question 10

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

Revolt · Accepted Answer

16

Solving One-Variable Equations with Systems — Unit test Answers

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