SAT Math Heart of Algebra

Which of the following represents the equation of the line with an x-intercept of 5 and y intercept of 6?

• y - 6 = (-6/5)(x - 5)

• y - 6 = (-5/6)(x - 5)

• y - 6 = (-6/5)x

• y - 6 = (-5/6)x

Which of the following statements is equivalent to the statement -4 < x ≤ 2

• x > -2 and x ≤ 1

• x < -2 and x ≥ 1

• x ≥ -2 and x < 1

• x ≤ -2 and x > 1

On a real number line, a number, x, is more than 4 times as far from 10 as it is from 40. Which of the following statements describes all possible values of x?

• x < 34 or x > 50

• x > 40

• 34 < x < 50

• 32.5 < x < 160

Which of the following is equivalent to the statement |x - 2| < 1

• x < 3

• x < -1

• 1 < x < 3

• -1 < x < 3

5x - y = 11

2x - 2y = 9

Based on the system above, what is the value of 3x + y?

• -2

• 0

• 2

• 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

It costs Emma P dollars to make each of her custom bracelets, which she sells for m dollars a piece. She makes a profit of $60 if she makes and sells 5 of these bracelets, but she only makes a profit of $10 if she makes 5 bracelets but only sells 4 of them. How much does it cost Emma to make each bracelet?

• $36

• $38

• $48

• $50

Tags

CCSS.8.EE.C.7B

If y varies inversely as the square of x, then when x is multiplied by 4, y will be

• divided by 16

• divided by 2

• multiplied by 16

• multiplied by 2

Tags

CCSS.HSF-LE.A.1B

If y varies inversely as the square of x, and y = 4 when x = 2, then what is the value of y when x = 3?

• 16/9

• 8/3

• 3

• 9

5.5B + 4R = 28 The above equation is true if Amit buys B pounds of blueberries and R pounds of raspberries at a farm where blueberries cost $5.50 per pound and raspberries cost $4.00 per pound. According to the equation, how much does Amit spend in total on both types of berries?

• $9.50

• $22.00

• $28.00

• $56.00

Which is NOT a math topic on the SAT?

• Heart of Algebra

• Passport to Advanced Mathematics

• Differential Equations and Multivariable Calculus

• Problem Solving and Data Analysis

Tags

CCSS.8.EE.C.7B