Algebra 1 Semester 1 final exam review

Front

Simplify the equation: 3x - 7 = 3(x - 3) + 2. How many solutions does it have?

Back

The equation has infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 2x - 3 + 4x = 27.

Back

x = 5.

Tags

CCSS.8.EE.C.7B

Front

What is the y-intercept of the equation y = 3x + 7?

Back

The y-intercept is (0, 7).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Solve the system of equations: x + 2y = -4 and x - 2y = 8. What is the solution?

Back

The solution is (2, -3).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Find the y-intercept of the equation 3x + y = 5.

Back

The y-intercept is (0, 5).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean if an equation has no solutions?

Back

It means that the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the solution to the equation 5x + 2 = 17?

Back

x = 3.

Tags

CCSS.7.EE.B.4A