Cumulative Exam — Cumulative exam Answers

Hiroto solved the equation 6 – 4|2x – 8| = –10 for one solution. His work is shown below.6 – 4|2x – 8| = –10 –4|2x – 8| = –16|2x – 8| = 42x – 8 = 42x = 12 x = 6

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current.2(x – y) = a b(x + y) = 8Which are true? Select two options.

What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

Which graph represents the function y = 2x – 4?

Simplify this expression.

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

What is the simplified form of the following expression?

What is the solution to 4|0.5x – 2.5| = 0?

Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

What is the value of x in the equation (x + 12) = (x + 14) – 3?

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

The table shows the total cost of purchasing x same-priced items and a catalog.

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries three-fourths, three-halves, 3, 6, 12.

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On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

What are the domain and range of f(x) = 4x – 8?

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.