DCAS Algebraic Reasoning 3

Question 1

A line has a slope of -2 and passes through the point (0, 5). What is its equation?

Accepted Answer

y = -2x + 5

Answer

y = -2x - 5

Answer

y = 2x + 5

Answer

y = 5x - 2

Question 2

Which value of x satisfies the inequality 4x - 3 ≤ 9?

Accepted Answer

3

Answer

4

Answer

5

Answer

7

Question 3

Which of the following is a linear function?

Accepted Answer

y = 2x + 3

Answer

y = x²

Answer

y = x³ - 1

Answer

y = 1/x

Question 4

A table shows: x = 1 → y = 4; x = 2 → y = 7; x = 3 → y = 10. Which equation fits this pattern?

Accepted Answer

y = 3x + 1

Answer

y = x + 3

Answer

y = 2x + 2

Answer

y = 4x

Question 5

What is the solution to the system of equations: y = 2x and y = x + 4?

Accepted Answer

(4, 8)

Answer

(2, 4)

Answer

(3, 6)

Answer

(4, 6)

Question 6

Which factored form is equivalent to x² + 3x + 2?

Accepted Answer

(x + 1)(x + 2)

Answer

(x + 3)(x - 1)

Answer

(x + 2)(x - 1)

Answer

(x + 4)(x - 2)

Question 7

A student buys 4 notebooks at $3 each and some pens at $2 each, spending $20 total. Which equation finds the number of pens p?

Accepted Answer

12 + 2p = 20

Answer

3 + 2p = 20

Answer

4 + 2p = 20

Answer

8p = 20