Review Problems

1. Simplify: \( 3x + 4x - 7 \).
2. Evaluate \( 2x^2 - 5x + 3 \) when \( x = -2 \).
3. Solve: \( 5x - 7 = 18 \).
4. Solve and graph: \( 2x + 3 \leq 9 \).
5. Write an equation for the line that passes through (0,2) with slope 3.
6. Is the relation \( \{(2,5), (3,7), (4,9)\} \) a function?
7. Determine if the graph of \( y = x^2 \) passes the vertical line test.
8. Word Problem: The sum of two consecutive integers is 47. Find the integers.
9. Word Problem: A rectangle has length 3 units more than its width. If the perimeter is 26 units, find the dimensions.
10. Challenge: The product of two numbers is 48. The difference of the numbers is 2. Find the numbers.