Absolute Values

Absolute Value Expressions

2016 April(73E) Math Question 1

2009 December(68A) Math Question 1

2015 April(73G) Math Question 1

2021 June(D06) Math Question 4

Absolute value

2021 April(Z04) Math Question 4

5. What is the value of 2|2 — 9| — 3(4 + 2) ?

2016 December(74H) Math Question 5

5. What is the value of 2⎪2 − 9⎪ − 3(5 + 2) ?

Adding, subtracting, multiplying and dividing positive and negative numbers

2021 December(E23) Math Question 5

2019 April(Z15) Math Question 6

2012 April(70G) Math Question 6

2014 April(71H) Math Question 6

10. What is the value of |-6| — |7 — 41|?

2017 June(74C) Math Question 10

11. The absolute value of which of the following numbers is the greatest?

2014 June(72C) Math Question 11

2010 December(69A) Math Question 13

14. What is th~ valu~ of the expressibri . 16 + 4 x 2 _ 5 •?

2019 June(B02) Math Question 14

2013 April(71G) Math Question 14

15. What is the value of the expression below?

2017 April(74F) Math Question 15

2019 June(72F) Math Question 15

2013 December(71E) Math Question 15

2011 June(69F) Math Question 16

2020 June(C02) Math Question 16

2011 April(67F) Math Question 18

21. Given that x <= 2 and x + y >= 4, what is the LEAST value that y can have?

2016 April(73E) Math Question 21

2010 June(68C) Math Question 25

26. For all nonzero values of a and b, the value of which of the following expressions is always negative?

2015 June(73C) Math Question 26

2009 June(67C) Math Question 26

2010 April(68G) Math Question 33

34. Which of the following statements shows that any subtraction can be written instead as an addition?

2021 April(D05) Math Question 34

2012 December(71A) Math Question 37

40. For all k > 0, I xl = I y = —k has how many (x,y) solutions?

2013 June(71C) Math Question 40

40. The equation 12x — 81 + 3 = 5 has 2 solutions. Those solutions are equal to the solutions to which of the following pairs of equations?

2017 April(74F) Math Question 40

2018 December(B05) Math Question 41

41. Let x be a real number. Which of the following statements is true for all possible values of x ?

2020 December(D03) Math Question 41

2020 June(C02) Math Question 45

45. For all real numbers a, b, and c, which of the following expressions is equal to la—b—cH

2016 December(74H) Math Question 45

48. If a and h are real numbers such that a > 0 and b< 0, then which of the following is equivalent to lal — I b1 ?

2018 June(A11) Math Question 48

48. For every negative real value of x, all of the following statements are true EXCEPT:

2015 December(72E) Math Question 48

2019 April(Z15) Math Question 49

2011 June(69F) Math Question 49

50. For some real number x, √x2 ≠ x. Therefore x is:

Squares and Square Roots

2021 December(E23) Math Question 50

2020 June(C02) Math Question 50

54. Given that p is a positive number, n is a negative number, and ⎪p⎪ > ⎪n⎪, which of the following expressions has the greatest value?

Absolute Value ExpressionsAbsolute ValuesACT math questions

2016 April(73E) Math Question 1

2009 December(68A) Math Question 1