8th Grade SC Ready Review (Calculator allow) (w/ standards)

(8.NS.1.a) Kaden says the number 13 is an irrational number. Which statement best explains whether Kaden is correct?

• Kaden is correct because 13 only has 2 factors

• Kaden is correct because 13 is not written as a fraction.

• Kaden is incorrect because 13 only has 2 factors.

• Kaden is incorrect because 13 can be written as a fraction.

(8.F.2) Two linear functions are created. The first linear function is represented by the graph shown.

The second linear function has the equation y = 2x - 6. Which statement best describes the difference between the values of the two functions at x = 8?

• The value of the first linear function is 1 greater than the value of the second linear function.

• The value of the first linear function is 14 greater than the value of the second linear function.

• The value of the second linear function is 4 greater than the value of the first linear function.

• The value of the second linear function is 10 greater than the value of the first linear function.

(8.F.2) The table shows some values for a linear function.
A second linear function passes the y-axis at the point (0, 4) and has a slope of  $\frac{1}{4}$  .  Where do the two functions intersect?

• (5, 3)

• (8, 6)

• (1, -1)

• The two functions do not intersect.

(8.F.2) Mika talks with two different companies about having a banner printed.

The first company uses the equation c = 2.75f + 75 to determine the cost, c, in dollars, for a banner with an area of f square feet.

The second company charges an initial fee of $80 and charges $3.05 per square foot.

Which statement best compares the costs at the two different companies to print Mika's banner?

• The cost at the first company is always less than the cost at the second company for banners with equal area.

• The cost at the second company is always less than the cost at the first company for banners with equal area.

• The cost at the first company is less than the cost at the second company for banners with an area less than a particular value.

• The cost at the second company is less than the cost at the first company for banners with an area less than a particular value.

(8.F.4.d) The linear function y = 14x + 22 represents the cost in dollars, y, to camp at a park for x nights. What is most likely represented by the y-intercept of the function?

• The number of nights spent camping

• The cost per night to camp at the park

• The number of people camping

• The cost of a one-time fee for a camping permit

A system of equations is shown. (8.EEI.8.c)

3x + 4y = 30

3x + 5y = 33

What is the value of y in the solution to the system of equations?

• y = 3

• y = 4

• y = 5

• y = 6

(8.EEI.8.c) A company takes care of cats and dogs overnight when their owners are out of town. The company charges $18 per cat per night and $30 per dog per night. On Saturday night, the company took care of a total of 16 cats and dogs. The system of equations shows the total amount the company charged on Saturday night for the number of cats, x, and the number of dogs, y, that were taken care of.

x + y = 16

18x + 30y = 432

How many cats did the company take care of on Saturday night?

• 4

• 5

• 8

• 12

A system of equations is shown. (8.EEI.8.d)

x + 4y = 10
3x + 12y = 20

What is the solution to the system of equations?

• (3, 12)

• (5, 1 1/4)

• all real numbers

• no solution

(8.GM.2.e) The figure shows two congruent triangles.

Which series of transformations can be used to map triangle EFG onto triangle E'F'G'?

• a translation 11 units to the left and a reflection across the x-axis.

• a reflection across the y-axis and a translation 11 units to the left.

• a rotation of 180 degrees around the origin and a translation 1 unit to the right.

• a translation 1 unit to the right and a rotation of 180 degrees around the origin.

(8.GM.7) A construction worker has a wooden board with a length of 12 feet and a height of 4 feet. The construction worker makes one cut through the entire board to create two triangular pieces. What is the measurement, rounded to the nearest tenth of a foot, of the cut the construction worker makes?

• 6.9

• 12.6

• 32.0

• 80.0