UGA MATH PLACEMENT TEST PREP GUIDE WITH COMPLETE
SOLUTIONS (2025 UPDATE)
1. x=5 (lin equation): 1 solution
2. 4=5 (lin equation): 0 solutions
3. 5=5 (lin equation): infinite solutions
4. distance formula: d squared= delta x squared plus delta y squared
5. Slope Intercept Formula: y=mx+b
6. Point Slope Formula: y-y1=m(x-x1)
7. Two Point Formula: y-y1=(y2-y1)/(x2-x1) x (x-x1)
8. Standard Form of a Line: ax plus by equals c
9. if dividing an inequality by a negative number: flip the sign
10. Interval notation: Bracket= definite, parentheses = indefinite
11. Quadratic Formula: x equals -b plus or minus the square root of b squared minus four ac over 2a
12. the rule that generates a function is: y=f(x)
13. rational expression: a fraction where the numerator and denominator are polynomials
14. x to the -n: 1 divided by x to the n
15. x to the 1/n: n root x
16. x to the p/n: (n square root) to p
17. x to the a times x to the b: x to the a plus b
18. (xy) to the a: x to the a times x to the b
19. x to the a / x to the b: x to the a minus b
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, UGA MATH PLACEMENT TEST PREP GUIDE WITH COMPLETE
SOLUTIONS (2025 UPDATE)
20. (x/y) to the a: x to the a divided by x to the b
21. x to zero: one
22. standard form of quadratic equation: ax^2 + bx +c = 0
23. vertex form of a quadratic: y= a(x-h)^2 + k
24. h equals: -b/2a
25. k equals: f(h)
26. in quadratics, (x,y) are equal to what in standard form: (h,k)
27. axis of symmetry equals: -b/2a
28. if an object strikes the ground that means: s(t)=0
29. the maximum of a negative quadratic is located at: the vertex
30. velocity equals what when units are in feet: 16
31. velocity equals what when units are in meters: 4.9
32. if slopes are equal: lines are parallel
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SOLUTIONS (2025 UPDATE)
1. x=5 (lin equation): 1 solution
2. 4=5 (lin equation): 0 solutions
3. 5=5 (lin equation): infinite solutions
4. distance formula: d squared= delta x squared plus delta y squared
5. Slope Intercept Formula: y=mx+b
6. Point Slope Formula: y-y1=m(x-x1)
7. Two Point Formula: y-y1=(y2-y1)/(x2-x1) x (x-x1)
8. Standard Form of a Line: ax plus by equals c
9. if dividing an inequality by a negative number: flip the sign
10. Interval notation: Bracket= definite, parentheses = indefinite
11. Quadratic Formula: x equals -b plus or minus the square root of b squared minus four ac over 2a
12. the rule that generates a function is: y=f(x)
13. rational expression: a fraction where the numerator and denominator are polynomials
14. x to the -n: 1 divided by x to the n
15. x to the 1/n: n root x
16. x to the p/n: (n square root) to p
17. x to the a times x to the b: x to the a plus b
18. (xy) to the a: x to the a times x to the b
19. x to the a / x to the b: x to the a minus b
https://www.stuvia.com/user/MBOFFIN 1/5
, UGA MATH PLACEMENT TEST PREP GUIDE WITH COMPLETE
SOLUTIONS (2025 UPDATE)
20. (x/y) to the a: x to the a divided by x to the b
21. x to zero: one
22. standard form of quadratic equation: ax^2 + bx +c = 0
23. vertex form of a quadratic: y= a(x-h)^2 + k
24. h equals: -b/2a
25. k equals: f(h)
26. in quadratics, (x,y) are equal to what in standard form: (h,k)
27. axis of symmetry equals: -b/2a
28. if an object strikes the ground that means: s(t)=0
29. the maximum of a negative quadratic is located at: the vertex
30. velocity equals what when units are in feet: 16
31. velocity equals what when units are in meters: 4.9
32. if slopes are equal: lines are parallel
https://www.stuvia.com/user/MBOFFIN 2/5
