SAT Math
Heart of Algebra — SAT Practice Questions
Heart of Algebra questions test the building blocks of SAT Math: linear equations, linear functions, inequalities, and systems of linear equations. Mastering how to set up, manipulate, and interpret linear relationships is the fastest way to raise your Math score.
Skills covered in Heart of Algebra
- Linear Functions
- Linear Equations in One Variable
- Linear Equations in Two Variables
- Systems of Two Linear Equations
- Linear Inequalities in One or Two Variables
Practice Heart of Algebra questions
- A line in the xy -plane has a slope of - 1 2 and passes through
- The graph of y = f x - 11 is shown. The line slants sharply down
- y ≤ x + 7 y ≥ - 2 x - 1 Which point x ,
- x + y = 18 5 y = x What is the solution x , y
- y = 4 x + 1 4 y = 15 x - 8 The solution to
- f ( x ) = 4 x + b For the linear function f , b
- x 10 15 20 25 f x 82 137 192 247 The table shows four values
- The Karvonen formula above shows the relationship between Alice’s target heart rate H , in
- What value of p satisfies the equation 5 p + 180 = 250 ?
- Line k is defined by y = 17 7 x + 4 . Line j is
- On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for
- y = 576 2 x + 2 The graph of the given equation in the xy
- One of the two equations in a linear system is . The system has no solution.
- For the first line in the system: The line slants sharply down from left to right.
- An object hangs from a spring. The formula relates the length , in centimeters, of the
- The boundary of the inequality is a solid line. The line slants sharply up from left
- Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased
- Blood volume, , in a human can be determined using the equation , where is the
- 24 x + y = 48 6 x + y = 72 The solution to the
- The table gives the number of hours, h , of labor and a plumbers total charge
- On the first day of a semester, a film club has 90 members. Each day after
- The line slants sharply up from left to right. The line passes through the following points:
- Oil and gas production in a certain area dropped from 4 million barrels in 2000 to
- Sean rents a tent at a cost of $ 11 per day plus a onetime insurance
- x + 40 = 95 What value of x is the solution to the given equation?
- Which of the following ordered pairs ( x , y ) satisfies the system of inequalities
- The line graphed in the xy -plane below models the total cost, in dollars, for a
- y > 13 x - 18 For which of the following tables are all the values
- Line p is defined by 2 y + 18 x = 9 . Line r is
- A model estimates that whales from the genus Eschrichtius travel 72 to 77 miles in the
- The minimum value of x is 12 less than 6 times another number n . Which
- If 2 ( 3 t - 10 ) + t = 40 + 4 t ,
- The equation E t = 5 1.8 t gives the estimated number of employees at a
- v = - w 150 x The given equation relates the distinct positive numbers v ,
- If 4 x - 28 = - 24 , what is the value of x -
- 1 4 x + 5 - 1 3 x + 5 = - 7 What value
- A bus is traveling at a constant speed along a straight portion of road. The equation
- A geologist needs to collect at least 67 samples of lava from a volcano. If the
- The function f is defined by f x = 80 - 6 x . What is
- The front of a roller-coaster car is at the bottom of a hill and is 15
- A line segment that has a length of 115   centimeters   ( cm ) is
- In a set of four consecutive odd integers, where the integers are ordered from least to
- If 6 n = 12 , what is the value of n + 4 ?
- The length of a rectangle is 50 inches and the width is x inches. The perimeter
- Number of cars Maximum number of passengers and crew 3 174 5 284 10 559 The
- The function h is defined by h x = 4 x + 28 . The graph
- b = 42 c f The given equation relates the positive numbers b , c ,
- Monarch butterflies can fly only with a body temperature of at least 55.0   degrees  
- At how many points do the graphs of the equations y = x + 20 and
- x = 10 y = x + 21 The solution to the given system of equations
- A certain elephant weighs 200 pounds at birth and gains more than 2 but less than
- Cathy has n CDs. Gerry has 3 more than twice the number of CDs that Cathy
- A team of workers has been moving cargo off of a ship. The equation below models
- The sterplot shows the relationship between the length of time y , in hours, a certain
- If 2 x + 3 = 9 , what is the value of 6 x -
- x + 3 y = 29 3 y = 11 The solution to the given system
- Valentina bought two containers of beads. In the first container 30% of the beads are red,
- If 5 - 7 2 - 4 x = 16 - 8 2 - 4 x
- x = 8 x + 3 y = 26 The solution to the given system of
- Line l is defined by 3 y + 12 x = 5 . Line n is
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