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SAT Math Unit 1: Algebra — Free with Answer Explanations | Test Practice Hub

SAT Math Unit 1: Algebra

12 questions

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Unit 1: Algebra

0 of 12 answered

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Question 1

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 2

The function $g$ is defined by $g (x) = \frac{3 x + 6}{x - 2}$ . For what value of $x$ is $g (x)$ undefined?

x = - 2

x = 2

x = 3

x = 0

Question 3

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

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

2

4

6

8

Question 4

If $3 x - 7 = 14$ , what is the value of $x$ ?

3

7

9

21

Question 5

Which value of $x$ satisfies the inequality $2 x + 5 < 13$ ?

5

4

3

8

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Question 6

In the $x y$ -plane, line $ℓ$ has equation $3 x - 4 y = 12$ . Line $m$ is perpendicular to $ℓ$ and passes through $(0, 5)$ . Which equation represents line $m$ ?

y = - \frac{4}{3} x + 5

y = \frac{3}{4} x + 5

y = \frac{4}{3} x + 5

y = - \frac{3}{4} x + 5

Question 7

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 8

A line passes through the points $(0, - 3)$ and $(4, 5)$ . What is the slope of the line?

2

\frac{1}{2}

- 2

\frac{5}{4}

Question 9

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 10

For which value of $k$ does the system below have infinitely many solutions?

$2 x - k y = 4$
$4 x - 6 y = 8$

k = 2

k = 3

k = 4

k = 6

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Question 11

A line in the $x y$ -plane has slope $- \frac{2}{3}$ and passes through the point $(6, 1)$ . What is the $y$ -intercept of this line?

5

- 3

3

- 5

Question 12

If $f (x) = 4 x - 9$ , what is the value of $f (5)$ ?

11

29

- 16

15