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SAT Math Medium practice

15 questions

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Medium practice

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Question 1

A scatterplot shows a strong positive linear association between hours studied ( $x$ ) and exam score ( $y$ ). The line of best fit is $y = 4 x + 52$ . Predict the exam score for a student who studies 8 hours.

80

84

60

96

Question 2

A point $P$ is at coordinates $(3, - 4)$ . What is the distance from $P$ to the origin?

5

7

1

7

Question 3

The expression $\frac{x ^{2} - 4}{x - 2}$ simplifies to which of the following, for $x \neq = 2$ ?

x - 2

x + 2

x^{2} - 2

x + 4

Question 4

In the figure, line $ℓ$ is parallel to line $m$ . A transversal crosses both lines, creating alternate interior angles. One alternate interior angle measures $(3 x + 10) °$ and the other measures $(5 x - 20) °$ . What is the value of $x$ ?

x = 15

x = 5

x = 10

x = 25

Question 5

The equation $x^{2} - 6 x + k = 0$ has exactly one real solution. What is the value of $k$ ?

6

9

12

3

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Question 6

A circle has a radius of $7$ . What is the circumference of the circle? (Use $π \approx 3.14$ .)

43.96

153.86

21.98

7 π

Question 7

What is the value of $y$ in the system of equations below?

$2 x + y = 10$
$x - y = 2$

2

4

6

8

Question 8

A store sells notebooks for $\$ 3 $e a c han d p e n s f or$ $1.50$ each. Mia bought 8 items and spent exactly $\$ 18$. How many notebooks did she buy?

3

4

5

6

Question 9

In a class of 30 students, $60%$ play a sport and $40%$ play an instrument. If $20%$ play both, what percent of students play neither?

0%

10%

20%

80%

Question 10

If $3 x + 7 = 4$ , what is the value of $x$ ?

x = 3

x = \frac{23}{3}

x = - 1

x = 9

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Question 11

A taxi charges a flat fee of $\$ 3.00 $pl u s$ $1.75$ per mile. Jared's fare totaled $\$ 15.25$. How many miles was the ride?

6

7

8

9

Question 12

A bag contains 4 red marbles, 3 blue marbles, and 5 green marbles. If one marble is selected at random, what is the probability it is NOT red?

\frac{1}{3}

\frac{2}{3}

\frac{5}{12}

\frac{3}{12}

Question 13

If $∣2 x - 6∣ = 10$ , what are the solutions for $x$ ?

x = 8

onlyB.

x = - 2

onlyC.

x = 2

and

x = 8

x = - 2

and

x = 8

Question 14

A population of bacteria doubles every 3 hours. Starting from 500, which expression gives the population after $t$ hours?

500 \cdot 2^{t /3}

500 \cdot 2^{3 t}

500 \cdot 3^{t /2}

500 + 2 t

Question 15

The two-way table below shows data on 200 students.

	Passed	Failed	Total
Studied	120	20	140
Did not study	30	30	60
Total	150	50	200

What is the probability that a randomly selected student who failed did not study?

\frac{30}{200}

\frac{30}{60}

\frac{30}{50}

\frac{50}{200}

SAT Math Medium practice — Free with Answer Explanations | Test Practice Hub