Algebra I Semester 1 Finals Review

Front

Find h(-3) for the function h(x) = 2x + 3.

Back

h(-3) = 2(-3) + 3 = -6 + 3 = -3.

Front

Solve for x: 3x + 2x + 7 = 10x - 16.

Back

Combine like terms: 5x + 7 = 10x - 16. Subtract 5x from both sides: 7 = 5x - 16. Add 16 to both sides: 23 = 5x. Divide by 5: x = 23/5.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4.

Back

Combine like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4.

Front

What is the y-intercept of the function y = 2x + 3?

Back

The y-intercept is the value of y when x = 0. Substituting x = 0: y = 2(0) + 3 = 3.

Front

Is the table linear or exponential if it shows a constant rate of change?

Back

If the table shows a constant rate of change, it is linear.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is the coefficient of x, which is 4.

Front

Solve for y: 2y - 3 = 5.

Back

Add 3 to both sides: 2y = 8. Divide by 2: y = 4.

Front

What does it mean for an equation to be in slope-intercept form?

Back

An equation is in slope-intercept form if it is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

Find the value of x in the equation: 4(x - 2) = 12.

Back

Distribute: 4x - 8 = 12. Add 8 to both sides: 4x = 20. Divide by 4: x = 5.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.