M2 Supp Midterm Review

Which of the following is an expression?

• x

• 3

• a + b

• 0

Answer explanation

An expression is a combination of variables, constants, and operators that evaluates to a value. 'a + b' is an expression because it combines the variables 'a' and 'b' with the addition operator, while the other options are not.

Which of the following is a variable?

• 1 - h

• 25

• y

• 4+9=13

Answer explanation

A variable is a symbol that represents a value. In this case, 'y' is a variable, while 'h' is also a symbol but not defined as a variable here. '25' is a constant, and '4+9=13' is an equation, not a variable.

Which of the following is an equation?

• 5

• x - y

• 2 + 2 = 4

• 6a

Answer explanation

An equation is a mathematical statement that asserts the equality of two expressions. '2 + 2 = 4' is an equation because it shows that the left side equals the right side, while the other options do not express equality.

Which quadrant does the point (2, 3) fall into?

• I

• II

• III

• IV

Answer explanation

The point (2, 3) has a positive x-coordinate and a positive y-coordinate, which places it in the first quadrant (I).

Which quadrant does the point (3, -2) fall into?

• I

• II

• III

• IV

Answer explanation

The point (3, -2) has a positive x-coordinate and a negative y-coordinate. This places it in the fourth quadrant (IV), where x is positive and y is negative.

Which quadrant does the point ( -4, 5) fall into?

• I

• II

• III

• IV

Answer explanation

The point (-4, 5) has a negative x-coordinate and a positive y-coordinate. This places it in the second quadrant (II), where x is negative and y is positive.

Which quadrant does the point (-4, -3) fall into?

• I

• II

• III

• IV

Answer explanation

The point (-4, -3) has both coordinates negative, which places it in the third quadrant (III) of the Cartesian plane, where x and y values are both less than zero.

• y

• m

• x

• b

Answer explanation

In the equation y=mx+b, the y-intercept is represented by b. It is the value of y when x is 0, indicating where the line crosses the y-axis. Therefore, the correct answer is b.

• 2

• 3

• 1

• -3

Answer explanation

The slope of the line in the equation y = -3x + 4 is the coefficient of x, which is -3. Therefore, the correct answer is -3.

• (0,-1)

• (3,0)

• (-1,0)

• (0,3)

Answer explanation

To find the x-intercept, set y to 0 in the equation y=3x+3. Solving 0=3x+3 gives x=-1. Thus, the x-intercept is (-1,0). This matches the correct answer choice.