Rhode Island Comprehensive Assessment System Mathematics — Grade 8

Which of the following numbers is irrational?

• A√49
• B0.75
• C√18
• D22/7

Which set contains ONLY rational numbers?

• A{-3, 0, √16, 5/9}
• B{√2, π, 3.14, 0}
• C{√9, √12, 4/5, -1}
• D{0.333..., √5, 7, -2}

Why is π (pi) classified as an irrational number?

• AIt can be written as a repeating decimal.
• BIt cannot be written as a ratio of two integers and its decimal expansion is non-terminat…
• CIt is equal to 22/7 exactly.
• DIt is a negative real number.

Solve for x in the equation x^3 = 64.

• Ax = 4
• Bx = 8
• Cx = 16
• Dx = 21.33

What is the value of √144 - ∛27?

• A9
• B15
• C141
• D11

Between which two consecutive whole numbers does √65 lie?

• A7 and 8
• B8 and 9
• C9 and 10
• D6 and 7

Which range on a number line best contains the value of √30?

• ABetween 4.0 and 4.5
• BBetween 5.0 and 5.5
• CBetween 5.5 and 6.0
• DBetween 6.0 and 6.5

Place the following numbers in order from least to greatest: √15, 3.8, ∛64, 11/3.

• A11/3, 3.8, √15, ∛64
• B√15, 11/3, 3.8, ∛64
• C11/3, √15, 3.8, ∛64
• D3.8, 11/3, √15, ∛64

What fraction is equivalent to the repeating decimal 0.777... (0.7̄)?

• A7/10
• B7/9
• C77/100
• D7/11

Convert the repeating decimal 0.454545... (0.45̄) to a fraction in simplest form.

• A45/100
• B5/11
• C9/20
• D4/9

Simplify (3^4) * (3^-2).

• A3^-8
• B3^2
• C3^6
• D9^2

Which expression is equivalent to (5^3)^-2?

• A5^1
• B5^-6
• C5^-1
• D15^-2

Simplify the expression: (2^5 * 2^-3) / 2^4.

• A2^-2
• B2^6
• C2^2
• D2^-6

Find the value of 4^-3.

• A-12
• B-64
• C1/64
• D1/12

Which expression is equivalent to (x^-4 * y^3)^2?

• Ax^-8 * y^6
• Bx^-2 * y^5
• Cx^8 * y^6
• Dx^-8 * y^5

Evaluate (6^0 * 2^4) / 4^-1.

• A4
• B16
• C64
• D0

Express 0.00045 in scientific notation.

• A4.5 * 10^-4
• B4.5 * 10^-3
• C45 * 10^-5
• D4.5 * 10^4

What is the product of (3 * 10^4) and (2.5 * 10^3) written in scientific notation?

• A7.5 * 10^7
• B7.5 * 10^12
• C5.5 * 10^7
• D75 * 10^6

Calculate (8 * 10^8) ÷ (2 * 10^-3) in scientific notation.

• A4 * 10^5
• B4 * 10^11
• C4 * 10^-11
• D16 * 10^5

The distance from Earth to the Sun is approximately 9.3 * 10^7 miles. Light travels at approximately 1.86 * 10^5 miles per second. How many seconds does it take for light to travel from the Sun to Earth?

• A500 seconds
• B5,000 seconds
• C50 seconds
• D1,729 seconds

Evaluate (1.2 * 10^6) + (3.4 * 10^5) in scientific notation.

• A4.6 * 10^6
• B1.54 * 10^6
• C4.6 * 10^11
• D1.54 * 10^5

How many times larger is 6 * 10^9 than 3 * 10^4?

• A2 * 10^5
• B2 * 10^13
• C3 * 10^5
• D2 * 10^36

A car travels 180 miles in 3 hours at a constant speed. What is the unit rate (slope) in miles per hour?

• A177 mph
• B60 mph
• C180 mph
• D540 mph

What is the slope of the line passing through the points (2, 5) and (6, 13)?

• A2
• B4
• C1/2
• D8

Line A has the equation y = 4x. Line B passes through (0, 0) and (3, 15). Which line has a steeper slope, and by how much?

• ALine B is steeper by 1 unit of slope.
• BLine A is steeper by 1 unit of slope.
• CBoth lines have equal slope.
• DLine B is steeper by 5 units of slope.

Line L passes through (1, 2) and (4, 11). Which ratio represents the calculation of the slope of line L?

• A(11 - 2) / (4 - 1) = 9/3 = 3
• B(4 - 1) / (11 - 2) = 3/9 = 1/3
• C(11 + 2) / (4 + 1) = 13/5
• D(4 - 11) / (1 - 2) = -7/-1 = 7

Store 1 sells 4 pounds of apples for $6.00. Store 2 sells apples at a price modeled by y = 1.75x (where y is total cost and x is pounds). Which store has the lower price per pound?

• AStore 1 ($1.50 per pound)
• BStore 2 ($1.75 per pound)
• CBoth stores have the same price per pound
• DStore 1 ($0.67 per pound)

Solve for x: 3x + 7 = 22.

• Ax = 5
• Bx = 9.67
• Cx = 15
• Dx = 7.33

Solve the linear equation: 4(x - 3) = 2x + 10.

• Ax = 11
• Bx = -1
• Cx = 22
• Dx = 3.5

Which equation has NO solution?

• A2x + 5 = 2x + 8
• B3x + 4 = 3x + 4
• C5x - 1 = 2x + 5
• D4x = 0

Which linear equation has infinitely many solutions?

• A5(x + 2) = 5x + 10
• B5(x + 2) = 5x + 2
• C5x + 2 = 10
• Dx + 5 = 10

Solve for x: (2/3)x - 4 = 8.

• Ax = 18
• Bx = 8
• Cx = 12
• Dx = 24

Solve for x: -3(2x - 5) + 4 = 5x - 3.

• Ax = 2
• Bx = -2
• Cx = 1
• Dx = 3

What is the y-intercept of the line given by 3x - 2y = 12?

• A(0, -6)
• B(0, 6)
• C(4, 0)
• D(0, 12)

What is the solution (x, y) to the system of equations: y = 2x + 1 and y = -x + 7?

• A(2, 5)
• B(3, 4)
• C(1, 3)
• D(4, 9)

Solve the system of equations using elimination: 2x + 3y = 12 2x - y = 4

• A(3, 2)
• B(2, 3)
• C(0, 4)
• D(6, 0)

How many solutions does the system of equations have? y = 3x - 5 6x - 2y = 10

• AInfinitely many solutions
• BNo solution
• CExactly one solution: (0, -5)
• DExactly two solutions

A theater sold 100 total tickets for a matinee. Adult tickets cost $10 each and child tickets cost $6 each. Total revenue was $760. How many adult tickets were sold?

• A40 adult tickets
• B60 adult tickets
• C50 adult tickets
• D30 adult tickets

Graphically, what does the solution to a system of two linear equations represent?

• AThe point of intersection of the two lines
• BThe y-intercept of the upper line
• CThe midpoint of the segment connecting their x-intercepts
• DThe area between the two lines

Solve the system: x + 2y = 8 3x - 4y = 4

• A(4, 2)
• B(2, 3)
• C(0, 4)
• D(8, 0)

Which set of ordered pairs represents a function?

• A{(1, 2), (2, 4), (3, 6), (4, 8)}
• B{(2, 3), (2, 5), (3, 7), (4, 9)}
• C{(0, 1), (1, 2), (1, 3), (2, 4)}
• D{(5, 2), (5, 4), (5, 6), (5, 8)}

Function f is defined by f(x) = -3x + 7. What is the value of f(4)?

• A-5
• B19
• C5
• D-19

Function A has the rule y = 5x - 2. Function B is given in a table containing points (1, 4), (2, 7), (3, 10). Which function has a greater rate of change (slope)?

• AFunction A (rate of change = 5)
• BFunction B (rate of change = 3)
• CBoth functions have equal rate of change
• DFunction B (rate of change = 4)

Which graph test is used to determine whether a curve on a coordinate plane represents a function?

• AVertical Line Test
• BHorizontal Line Test
• CDiagonal Line Test
• DParallel Line Test

Function 1 is y = 2x + 9. Function 2 passes through (2, 10) and (4, 18). Compare their y-intercepts.

• AFunction 1 has a greater y-intercept (9 vs 2)
• BFunction 2 has a greater y-intercept (10 vs 9)
• CBoth functions have the same y-intercept
• DFunction 1 has a smaller y-intercept (9 vs 18)

If the input to the function y = x^2 - 3 is x = -4, what is the output y?

• A13
• B-19
• C-11
• D19