B.E.S.T. Algebra 1 EOC REVIEW PART 1

In baseball, a pitcher’s earned run average is used to measure how effective the pitcher is. The earned run average, A, is calculated using the formula shown, where E is the number of earned runs and N is the number of innings the pitcher pitched. A = (9E) / N. Which equation correctly solves the formula for the variable E?

• E = A / 9N

• E = AN / 9

• E = 9A / N

• E = 9AN

Answer explanation

To solve for E in the formula A = (9E) / N, multiply both sides by N to get AN = 9E. Then, divide both sides by 9 to isolate E, resulting in E = AN / 9. Thus, the correct choice is E = AN / 9.

Tags

CCSS.HSA.CED.A.4

A function is shown. 7x + 4y = 14 Which graph represents the function?

• (Graph with intercepts at (0, 3.5) and (2, 0))

• (Graph with intercepts at (0, 2) and (3.5, 0))

• (Graph with intercepts at (0, 3.5) and (-2, 0))

• (Graph with intercepts at (0, 2) and (-3.5, 0))

Answer explanation

To find the intercepts, set y=0 to find x-intercept: 7x=14, x=2. Set x=0 to find y-intercept: 4y=14, y=3.5. The correct graph has intercepts at (0, 3.5) and (2, 0).

Tags

CCSS.HSF-IF.C.7A

An inequality is shown. 4x + 5y ≥ 10 Which graph represents the solution set of the inequality?

• [Graph A]

• [Graph B]

• [Graph C]

• [Graph D]

Answer explanation

The inequality 4x + 5y ≥ 10 represents a region above the line 4x + 5y = 10. Graph A correctly shows this shaded area, indicating all points that satisfy the inequality.

Tags

CCSS.HSA.REI.D.12

A compound inequality is shown. 2x - 1 ≤ 3 or (1/2)x + 4 > 7 Which graph represents the solution set of the compound inequality?

• [Graph A]

• [Graph B]

• [Graph C]

• [Graph D]

Answer explanation

To solve the compound inequality, we find the solutions for each part. For 2x - 1 ≤ 3, x ≤ 2. For (1/2)x + 4 > 7, x > 6. The solution set includes x ≤ 2 or x > 6, which is represented by Graph A.

An inequality is shown. -3x + 7 ≥ -x - 5 What is the solution set for x?

• {x | x ≤ 6}

• {x | x ≥ 6}

• {x | x ≤ -6}

• {x | x ≥ -6}

Answer explanation

To solve the inequality -3x + 7 ≥ -x - 5, first add x to both sides: -2x + 7 ≥ -5. Then, subtract 7: -2x ≥ -12. Dividing by -2 reverses the inequality: x ≤ 6. Thus, the solution set is {x | x ≤ 6}.

Answer explanation

To find the sum, combine like terms: (2x^3 + 4x) + (3x^3 + 5x) = (2x^3 + 3x^3) + (4x + 5x) = 5x^3 + 9x. Thus, the correct answer is 5x^3 + 9x.

Tags

CCSS.HSA.APR.A.1

A system of equations is shown. y = 2x + 2 2x + 5y = 19 What is the solution to the system?

• (3/4, 3 1/2)

• (1 1/8, 4 1/4)

• (1 2/3, 5 1/3)

• (3 1/4, 2 1/2)

Answer explanation

To solve the system, substitute y from the first equation into the second. This gives 2x + 5(2x + 2) = 19. Simplifying leads to x = 3/4. Substituting x back gives y = 3 1/2. Thus, the solution is (3/4, 3 1/2).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which expression is equivalent to √3?

Answer explanation

The expression √3 can be rewritten as 3^(1/2), which matches the correct answer choice. The other options do not equal √3.

A scatter plot of the U.S. national debt from 2001 to 2016, including a linear equation and its residuals modeling the data, is shown. Which statement correctly interprets the scatter plot?

• The scatter plot shows a weak positive correlation.

• The scatter plot shows a weak negative correlation.

• The scatter plot shows a strong positive correlation.

• The scatter plot shows a strong negative correlation.

Answer explanation

The scatter plot indicates a strong positive correlation, as the national debt consistently increases from 2001 to 2016, suggesting a direct relationship between the years and the rising debt levels.

Tags

CCSS.8.SP.A.3

• x = 9 or x = -9

• x = 7 or x = -7

• x = 8 or x = -8

• x = 6 or x = -6

Answer explanation

To solve the equation 3x^2 - 21 = 222, first add 21 to both sides to get 3x^2 = 243. Then divide by 3 to find x^2 = 81. Taking the square root gives x = 9 or x = -9, making the correct choice x = 9 or x = -9.

Tags

CCSS.8.EE.A.2